Question 2. Given that f'(x) = 4x(x² + 8)-1/3 and f(0) = 0, find the function f

Q: QUESTION 4 Find the derivative of the following function by first leveraging the properties of the…

A: The given function is: f(x)=lnxx2-9635x

Q: Question 14 4. If f (x)= ,then f '(x) equals (1+3x)5 60 A (1+3x) 25 60 (1+3x) 10 - 60 (1+3x) 10 - 60…

A:

Q: QUESTION 3 3 1 2 Let A = 1 4 5 2 5 and X2 X= 6. X3 Find (X'AX). Write out its derivatives with…

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Q: Question 1 ( Use the First Derivative Test to find the local maximum and minimum values of the…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: QUESTION 10 10. Given f(x) = = (x+5)(x-3) x²+2x-1 -, simplify f(y-1).

A: Simplify for f(y-1).

Q: ) = 5 + 4 sin(x). If f(0) = 3 and f' (0) = 4, what is f(x)? Consider the function f(x) whose second…

A: Given:

Q: D Question 5 Find the derivative of -2x f(x) = x f'(x) = -2x²e-2x (E) None of these f'(x) = e-2x…

A:

Q: Question 6 You do not need to simplify the answer. :) For each of the following, use the quotient…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: QUESTION 20 Find the critical values of the function below. 9. f(x) =

A:

Q: Question 3 .2 If dx F(x)=f(x) and F(– 1) = F(2)= –5, then f(x)dx%3D

A: To solve the following problem using fundamental theorem of Calculus

Q: Untitled Question 4z f (x) = 6x on [-3,0] +1

A: To determine the average function value of fx=6x-4xx2+1 on interval -3,0. Solution: The average…

Q: QUESTION 15 The second derivative of the function y= 3x4-20x2, at x = -5 (round your answer to…

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Q: Question 4. Find f/ (x). (a) f(x) = xsinx (b) f(x) = sech-1x²

A:

Q: Question 5:Find the value of constant c, if f(x) is continuous at x = 2 |cx? + 2x if x 2 -

A: Given that: f(x)=cx2+2x    if x<2x3-cx      if x≥2

Q: Question 7 Integrate the function. x + 6 dx *+3Xx +5) (A (x+3)3 X +5 +C x+5 X+3 (x+3 X+5 x+ 3)3 In X…

A:

Q: Question 9 Find the derivative of (3x+4)3 (-3x 2)4 h(x) = You should leave your answer in factored…

A: Given function isThe given function is a rational expression and the derivative can be obtained…

Q: Question 27 Determine the second derivative of 6 y - xy2= 1 A y " = 2y³ ( 6 – 2 x y ) -2 ( 2 – x y (…

A:

Q: QUESTION 3 Provide the slope of the line tangent to f-(x) at the point (-2,1) where f(x)= x5 +2x³ -…

A: slope of tangent line on  f-1 (x) is the derivative of f-1 (x) at the given point .

Q: Question 9 Suppose 8 (x) = sec-(x²), what is the derivative of g with respect to x? 2x A 8 (x) =…

A: We need to find derivative.

Q: Question 11: Let f(x) = |- x +7|-|-3+x|, where r E R. Let Z = {x: f(x) > 0} . Give explicitly the…

A:

Q: Question 8 Describe the long run behavior of f(x) = (x- 4)(x + 3)°(x – 1)²: | As x - o, f(x) → As x…

A: Solution

Q: Question 3 f (z) = (x- 1) (x - 8)2 Find f (-1)

A: Solve f(-1)

Q: Question 8 Let a be a real valued constant. Find the derivative with respect to x for the function…

A:

Q: QUESTION 9 The function f(x)-x2-1, ,is increas OA (-0,-2)U (0

A: We have to  choose the correct answer

Q: Problem 5  Find the derivative of the following function using the Fundamental Theorem of Calculus.…

A:

Q: Question 6 You do not need to simplify the answer. :) For each of the following, use the quotient…

A: Given,  f(x)= (x2+x)x-2 = (x2+x)/x2 = (1+1/x) differentiate with respect to X, f'(x)= d/dx 1 + d/dx…

Q: Question 4 Consider the function f(x) = -5x – 11x + x? +2x 3 2 smallest number n such that f(n) (x)…

A:

Q: Question 8 Suppose f(x) =In(2r³- 5x). what is the derivative of f with respect to x? %3D 6x2-5 A…

A: Let's find.

Q: Question 4 Given f(x) = x² – x 1) Derive the derivative function f'(x) using the limit definition of…

A: Solution is given below

Q: QUESTION 3 Given that f (x) = 2x2 + 1. Find f'(x) using the definition of derivative. %3D

A:

Q: 5. Given b(x) = (3x – 7)*, if m(x) = 36 (2 tan-1 (1 – 7x)) then m' (x) is %3D %3D

A:

Q: 1. Find the natural domain and the derivative of the given function. (a) 3x² +7x + 5, (b) (3x +1)5,…

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Q: QUESTION 4 Find the derivative. y =x 5/6 Os,5/6 x1/6 1/5 Ox-1/6

A: Note that  d/dx (x^n) = nx^(n-1)

Q: Question 13. Obtain the derivative of the function f(x) = 2 ln(4x) Enter the answer as a function of…

A: topic - derivative

Q: Question 2. Find the critical points of the function g(x, y) = x²y + 4xy.

A:

Q: Question 16. Obtain the derivative of the function f(x) (8z +9)-8 in the form A(Bx + C)P, where A,…

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Q: Question 2: Use this property of polynomials to calculate the derivative of 3 + x³, by first…

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Q: Question 16 O [CLO-2] Find the derivative of f(x)=tan -¹ (√2x) O √√2x+√√88² (1+√√2x)² 1 √√√2x+√√2x³

A:

Q: Problem 4. Find the second derivative of below functions. (1) f(x) = 4, (2) g(x) = ln(3x² + 2x - 5).

A: 1)f(x)=41/x 2)g(x)=ln(3x2+2x-5).

Q: Question 4 Consider :(-x, 2] → R, where f(x)=(x– 2)² +1. a. Define the function " x = 1,x = 5-V5 „*…

A: Since you have posted the different questions of parts. I am answering the first one. Please post…

Q: Can you help me step by step?

A: Given function is

Q: Question 5 Given the function: 5x 6 x < 0 ƒ(z) = { 5x 12 x 20 Calculate the following values: f(-1)…

A:

Q: Question 13 4 Find the derivative of y= 3/x x3 A 1 y'=3 4 y'=3 x4 1 B 6. C y' x1 12 3x2 x2 3/2 12 D…

A: Please see the answer of question 13 below. According to the guidelines of Bartleby, only the first…

Q: Question 1. Use the Second Derivative Test to find Maxima and Minima for the given function. y = x +…

A: 1. y=x3+6x2-15x+2 The first derivative of the given equation with respect to x is,…

Q: Question 12 VI² – 1 What is the derivative of y O y = 1 1 - 1 O y' %3| 22-1 O y' =

A: Given query is to find the derivative of the expression.

Q: Question 5 * 3 The derivative of the function y = -2x* – 8 + is: a) y' = -8x3 – b) y' = -8x3 – 8- c)…

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Q: Question 17 * - 2 17. Find the derivative of y = ln 2x +5 hint : In A = In A – In B В 3x 2 x' -2…

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Q: QUESTION 3 Find the derivative for each of the following functions x? (а): x(х - 1) x² – 2x+1 - (b)…

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Q: Question 6 use False Position method to find the first iteration x, for the function f(x) = x3 -10.…

A: