Get I get some help with this, please? (a) Find the derivative of f (x) = (22 + 6) (2a – 11) by first expanding the polynomials.Enter the fully simplified expression for f (x) after expanding the polynomials.f (x) =Enter the derivative of f (x).f' (x) =(b) Find the derivative of f (x) = (a2 + 6) (2x – 11) by using the product rule. Let g (a) = a2 + 6 and h (x) = 2x – 11.g' (æ) =h' (x) =f' (x) =(c) Are the expressions for the derivative in (a) and (b) the same?

Name: Get I get some help with this, please? (a) Find the derivative of f (x
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: Get I get some help with this, please? (a) Find the derivative of f (x) = (22 + 6) (2a – 11) by first expanding the polynomials.Enter the fully simplified expression for f (x) after expanding the polynomials.f (x) =Enter the derivative of f (x).f' (x

Math

Calculus

(a) Find the derivative of f (x) = ( a² +6) (2æ – 11) by first expanding the polynomials. Enter the fully simplified expression for f (x) after expanding the polynomials. f (2) = Enter the derivative of f (x). f' (x) (b) Find the derivative of f (x) = (a2 + 6) (2x – 11) by using the product rule. Let g (x) = x² + 6 and h (x) = 2x – 11. gʻ (æ) = h' (x) = %3D f' (포) = (c) Are the expressions for the derivative in (a) and (b) the same?

(a) Find the derivative of f (x) = ( a² +6) (2æ – 11) by first expanding the polynomials. Enter the fully simplified expression for f (x) after expanding the polynomials. f (2) = Enter the derivative of f (x). f' (x) (b) Find the derivative of f (x) = (a2 + 6) (2x – 11) by using the product rule. Let g (x) = x² + 6 and h (x) = 2x – 11. gʻ (æ) = h' (x) = %3D f' (포) = (c) Are the expressions for the derivative in (a) and (b) the same?

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Related questions

Q: Find the derivative of t(z)= (Z-2)5

A: fz=z-25z2+iz+12 Now find the derivative of fz f'z=ddzz-25z2+iz+12…

Q: Find the first derivative for the following function. Vx4 – 3 (2х — 5)"] f(x) = ln (2x-5)7 Vx4-3 2x3…

Q: 6. Find the derivative for each function, and simplify (reasonably): a) j(x) = (3x² + 3x – 1)* b)…

A: According to the chain rule of differentiation: According to the Product rule of differentiation:

Q: Suppose 8 (x): c-(x²). what is the derivative of g with respect to x? = sec 2 A 8 (x)=- xV1-. B…

A: The given function is g(x)=sec-1x2. We have to find the derivative of the given function with…

Q: 5. Find the derivative of the function. f(x) = x°/1- 8x x(16-136x) 2/1-Sr x'(16+136x) f (x)3D 2/1-8x…

A: The function is given by,

Q: 1 Find the derivative of f(x) = v2 – 3xª 2 -4 |

A: We use chain rule to find derivative

Q: Find the derivative of the function and evaluate (x) at the given value of x. 3x + 1 fx) = %3D ;ズミ3…

Q: Find the derivative of the following using First Principle. 4) y = -2x2 + 3x – 12 5) f(x) = x2 + 15x…

Q: 2. Find the derivative of (a) f(x) = x4 +2x-2 + 4ex

Q: .) What is the inner and the outer functions? b.) What is the derivative o

A: Given : The function is f(x) = x2+ 3x +1 .

Q: Compute the derivative of the given function. g(t) = 2t - In(2 – 5t) %3D

A: Given that: g(t)=23t.ln(2-5t)

Q: When we introduced the quotient rule, we didn't actually prove it. Let's do that using only the…

A: Given Data: Function: fxgx=fx·gx-1 The chain rule for derivative is, ddtfgt=f'gtg't ......1 The…

Q: 5. If f(x)= 5x² + 2x+1 is an invertible function, find the slope of the tangent line to f^(x) at the…

Q: 1. Find the derivative function for the following using the power rule: a) f(x) = x¹² b) y = 8x³ -…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Find the derivative of: a. 1/x^3 + 3 1/ square root of x b. x^3+2x over x^2+3x+ pi^2 c.…

A: Since you have asked multiple questions in a single request, we will be answering only the first…

Q: 2. Find all the derivatives of f, given f(x) = x8 – 5x7 + 4x6 – nx* + 3x3 + 11.

Q: A. Determine the derivative of the following using the Four-Step Rule. 1. f (x) = 4x – 5 2. f (x) =…

A: In problem A, We have to find the derivative using 4 step rule and in problem B, using fundamental…

Q: 2. a) Find and fully factorise the derivative of f(x) = (2x + 1)2 using expansion and the power…

Q: 2. Find the equation of the secant line on the curve f(x) = -x² +2 passing through the points ro =…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: c) h(x) =(5x-1) 12x² – 6 d) m(x) = (4x² – 9x} %3D

Q: 4. The derivative of In (x2+1) is In (2x). 5. The derivative of In (x2+1) is 2* 6. The first rule…

A: 4. Given statement is the derivative of lnx2+1 is ln2x. Finding derivative of lnx2+1.…

Q: A. Determine the derivative of the following using the Four-Step Rule 1. f (2) — 5а — 4 %3D | 2. f…

A: Recall: Derivative using Four step Rule:step 1 : Write f(x+h) and f(x).step 2 : Compute f(x+h)-f(x)…

Q: 4. Find the derivative of the following by applying the chain Rule and simplify. a. f(x)=| x+3 b.…

Q: 1. Find the derivative of the expanded function a. a^2x^2+2abx+b^2 b.…

A: 1. a) Given, a2x2+2abx+b2 Consider, y=a2x2+2abx+b2 Differentiate with respect to x,…

Q: if f(x) = x²√In x² x . find the derivative of this function f'(x) A. f'(x) = B. f'(x) = c. f'(x) =…

Q: 1 Find the derivative of the following function: f(x) = e2X(3x² - vx) 2e2X(6x - 1/x) O e'(6x -…

Q: МАТ 115 1.Find the derivative a. f(x) =x' In x b. f(x) = (x'+x-1) %3D с. f(x) d. f(x) = 4e*- x 3D20…

A: As per barlteby guideline for more than one sub question asked only first three are to be answered…

Q: (1) A course repeater claims that his brother who did some Calculus at college years ago, but…

Q: The first derivative of the given function is y = In(1 – 2x)³(2x + 1)? 10x+1 2x+2 1-4x2 1-4x2 20x+2…

Q: Evaluate the derivative of the given function for the given value of n. S= 4n^3 - 8n + 7 / 5n -…

A: We differentiate the following function by using divided formula of differentiation, see attached…

Q: -3- 6. USE THE ALTERNATIVE FORM OF THE DERIVATIVE TO FIND THE DERIVATIVE (IF IT EXISTS) OF f(x) = x²…

Q: Find the derivative of the function. x3 y -1 -2x3+3x2 y's (x- 1)2 y'= 2x-3x2 (x-1)2 y'= 2x3+ 332 (x-…

Q: 2. Find the derivative using chain rule. (a) f(x) = 5(2.r + 3)3 Answer: (b) f(x) = (x - 4)*(2x +3)…

Q: Find the derivative of the given function 4. g(x) = (4 – 9x²)³ 5. h(x) = 2-9, 3 x+5 %3D 6. A(x) =…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 1. Find the derivative of the following. f(x)=13x* –7x³+5x²+11x+75 b. S(x)-(x*+2x*+4)(x"-3) 3x -6x+7…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 3 Suppose 8 (x): 2(1- 5x)3 .What is the correct result of the derivative of g with respect to x? 45…

Q: In (4x+7) 1. Find the derivative of f(x) 5x e 10-18 x? Evaluate the integral: 5x-3x 5 6x*-3x?…

A: Please see the explanation below

Q: Example3: a) Find the derivative of f(x.r.:)= r - -: : at P(1.1.0) in the direction of 1= 2i-3j-6k.

Q: 9x Find the derivative of the function f(x)=In x2+15 2x O f'(x)= x²+15 15-x2 f"(x)= x2+15 2x O…

Q: Find the derivative of the function. 92-4x + h(x)= e 18x – 4x2 –1 92-4z++ x2 O b. 9x - 8x² – 1…

Q: Find the differential of the function. u = 3x4 + 4

A: The given function u=3x4+4

Q: 1. Find the derivative of the following by using the Theorem. a. y = In(3x3 – 6x +9) b. y = In[(2x –…

Q: What is the first derivative of p(x)=6e^−8x

Q: (a) Find the derivative of f(x)=(x^2+4)(4x−11) by first expanding the polynomials. Enter the…

Q: Find the derivative of the function y = In(x /x² + 14 X Vx²+14 1 Vx²+14 1 x²+14 x2+14

A: Topic:- derivatives Note:- as per our guideline if more than one question uploaded than only first…

Q: Find the derivative of the function x³(2x + 1) f(x) = In x2 – 3 Select the correct answer below: O…

A: We can make it easier for you.

Q: Find a linearization at a suitably chosen integer near a at which the given function and its…

Q: (1) A course repeater claims that his brother who did some Calculus at college years ago, but…

A: The given functions are: fx=2x2-1x2+3x2+1 and gx=x2+872-3x25 The person's brother believes that,…

Q: Find f'(x) (the derivative of f(x)) if f(x) = 7x'3 - 2x'2 + 4x - %3D 5. O 21x^2 - 4x + 4 + C O 21x^2…

Topic Video

Question

100%

Get I get some help with this, please?

(a) Find the derivative of f (x) = (22 + 6) (2a – 11) by first expanding the polynomials.
Enter the fully simplified expression for f (x) after expanding the polynomials.
f (x) =
Enter the derivative of f (x).
f' (x) =
(b) Find the derivative of f (x) = (a2 + 6) (2x – 11) by using the product rule. Let g (a) = a2 + 6 and h (x) = 2x – 11.
g' (æ) =
h' (x) =
f' (x) =
(c) Are the expressions for the derivative in (a) and (b) the same?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

Trending now

This is a popular solution!

Step by step

Solved in 7 steps with 11 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Research Design Formulation$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

Find the derivative of the given function from the first principle ax2+bx+c
For k(x)=(x−1)(−x2−2x)(2x−2), find the derivative of k(x) using the product rule. Do not include "k(x)=" in your answer. For example, if your answer is k′(x)=4x4, you would enter 4x4.
1. Find the derivative of the expanded function a. a^2x^2+2abx+b^2 b. a^2x^4+2abx^3+2acx^2+b^2x^2+2bcx+c^2 2. Find the derivative by chain rule a. (ax+b)^2 b.(ax^2+bx+c)^2
Find the linearization of f(x)=ln(x2-3) at suitably chosen integer near X=2.1. Then use the linearization to estimate the value of f(2.1).
f(x)=(x^3-25x)/(7x^2+1) Use the first derivative test to find the critical points.
Find a linearization at a suitably chosen integer near a at which the given function and its derivative are easy to evaluate. f(x)=2x2+5x-3, a=-0.9
Find the first derivative of y= 1/(1-x^4)^6 using the Chain Rule.
Solve for the derivative of the given functions using the Chain Ruleformula. Let f(x) = √(x2 + 3x + 1). Find f′(x). a.) What is the inner and the outer functions?b.) What is the derivative of the inner function?c.) What is the derivative of the outer function evaluated at the inner function?
Find the derivative of: g(x) = 6x^2/(2-x) 24x+6x^2/(2-x)^2 24x^2 -6x^2/(2-x)^2 24x -6x^2/(2-x)^2 6x^2 + 24x /(2-x)^2 None of the above
find the derivative of g(x) = (x+5)/(5-2X) using the definition of the derivative. must show all steps.
Find the first derivative of with respect to x using the increment method y=3x^2-7x+12
Find the derivative of the function using the product rule.(a) f(x) = (x3 − 2)(6x − 5)(b) f(x) = 3√ x(2x + 1)