x² + 1What is the derivative of y=x2 +4(A None of the given choices10xВ(x²+ 4)²-6x(x²+4)?6xDx2 + 46x(E(x²+ 4)²

The given function is y=x2+1x2+4 Differentiate with respect to x,

Answered: x² + 1 What is the derivative of y= -…

Math

Calculus

x² + 1 What is the derivative of y= - x2 + 4 A None of the given choices 10x B (x² + 4)²

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.4: Average Rate Of Change Of A Function

Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.

See similar textbooks

Related questions

Q: 1. Find the first derivative of the function g(z) = 8x – 36x – 96x. - g'(x) = 2. Find the second…

A: We have to find As per guideline we have to solve 3 subparts

Q: 1. f(x) = e3x B. Find the derivative of the following using chain rule 1. f(x) = (x3-6x + 1)9 %3D 2…

A: i solved part second as per student

Q: If y= b", then JExample 2.24: Applying Derivative For 3* Find the derivative of h(x)%3D 3 +2…

A: The given function is h(x)=3x/(3x+2).

Q: Find the first and second derivative of (x^3-3x^2+5)/(x^3+1). I found the first derivative, I…

Q: f(x) = 6x, xo = 2, h =-0.2, which one in the given options is the correct approximation first…

A: image is attached

Q: 2х - 3 y = 3x +4 The derivative is y'

A: Please refer the attached image for complete solution.

Q: 2x (a) By using the derivatives from first principles, find the derivatives of y = Do not simplify…

Q: Q3: i) Find the derivative of the function of y = (x² + 1)sin 3x %3D (ii) Find the absolute maximum…

A: Given: i) y = x2 + 1sin3x ii) f(x) = x2-13, -3≤x≤3

Q: 5x+√x 3.y=(x²+1)² 4. Using y = 5x + 3x² + 1, find all the derivatives and evaluate f"(2) f(3) (-2).…

Q: function D = x* - 18x + 12 a derivative of ) = 4x – 36x = 4x(x? – 9) - 9) |

Q: (a) f(x) = 2x7 – 3x4 – 41x? – 73 (b) f(x) = x cos x

Q: -3x²+tan(3x-5) Explain the steps you would take to find the derivative of f(x) = (e

A: Our Aim is to find the derivative of f(x)=12e-3x2+tan3x-5 -(i)

Q: + 4x" + 4х 3D0.

Q: 2x 4. Find the derivative of g(x) : %3D x4+vx Completely simplify your answer as a single fraction.

A: using formula ddx(xn) =nxn-1

Q: 3 - 1 Find the derivative of y = - 3 with respect tox. tan A. 3 x +9 В. + 9 С. 1 x +9 D. x² +9 B.

A: Use given function find derivative

Q: 4. Find the derivative. x? + 6x – 5 (a) 5х -1 (b) ƒ(x) = (3xr² – 5x - 7)' Us e chain rule (c) y =(x-…

A: Topic:- derivatives

Q: 3. (a) Determine the derivative of y = x3 +x using the product rule first. 1- 3x (b) Determine the…

A: As per Bartleby policy,only 1 question at a time can be asked.Please post separately for the…

Q: 2x + 8 7x - 1 Let f (x) = Then the derivative of f is Ax + B f'(x) = where %3D (7x – 1)C' - A = %3D…

A: Explanation and solution is given below....

Q: 6/5 (3 - x). x5/6 The derivative of the function y = In is y' = %3D

A: we have to find derivative

Q: Determine the second derivative of the implicit function x2+2xy+3y2=2

A: x2+2xy+3y2=2 Differentiating with respect to x, we get…

Q: V1-x-2 Which of the following is part of the domain of the derivative of y= X +3 A (-4,4) B (-1,1)…

Q: The function y(x) satisfies the equation 25x2-10y+1/2y2. What is the value of the second derivative…

A: It is given that yx satisfies 25x2-10y+y22=0. Differentiate 25x2-10y+y22=0 with respect to x as…

Q: 12. Find the second derivative for the function f (x)=4x+12x²-20x-18 and solve the equation f"(x)=0.…

Q: Find derivative by Quotient Rule and by simplifying first.

Q: Q-1] Find the derivative of the function -9 9 -7 -4 -3 9. 3 6- f(x) = det 6 -1 -2 5 -8 -8 1

A: It is known that if fx=axbxcxdx , then f'x=a'xb'xcxdx+axbxc'xd'x Given matrix is…

Q: 9x -7 y = 5x + 2 The derivative is y' =U.

A: y=9x-75x+2

Q: x2 -4 b) By use derivative sketch the function f(x) %3D 2x

Q: 2x3 = (3xy + 1)2 Implicit Derivative with Solution (step by step using chain rule and product rule)…

Q: Find the absolute extrema of the function f(x) = (x2 + 18)273 on the interval[-4,3]. Find the second…

Q: Determine the derivative -d/ 4 8 +³−1 - 17x y= y = 25 x-5 x+6

Q: x3 - 2/x + 1 Using quotient rule, which of the following derivatives is true for the function y = 2r…

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

Q: 음고+ 음 + 2V- e The first derivative of y = 3x5 is %3D

A: Recall: dxndx=nxn-1 dc1f(x)±c2g(x)dx=c1df(x)dx±c2d[g(x)]dx ; where c1 and c2 are constants.…

Q: 7x +5 5x +1 Evaluate the derivative of y = In where x = 3.25.

Q: r*y" + 31?y" =1+r

A: Consider the provided D.E,

Q: 7. x' +6x Find the derivative of the function f(x)=- A) f"(x) = x² +2 f'(x) =x² +6 C) f'(x)=x +2x…

Q: (x² + 1)(x +3)² 18. Find the derivative of y = In %3| x -1

Q: Q2. Find the derivative (the first derivative): a- Y = In (7-2 x 3 )4 Y= (3 x4+9)/(x+5) C- b- 100=…

Q: 4. Determine lim 3x +x?. *--2 а. 10 с. 6. b. -2 d. -4 dy 5. Determine the derivative for y = 2x' -…

A: Dear student policy is to answer first one only yet I answering first three for you kindly repost…

Q: Ax+ Bx + 2 ,xS 2 Find the values of A & B given that the derivative of f (x) =- is everywhere…

A: Ans: From Equation (1) Ax3 +Bx +2 (where x<=2) we put x=2 , then we have…

Q: 7. The derivative of g(x) = x - 2x? + x - 1 is g'(x) = 3x – 4x. 8. The derivative of R(z) = 2 is…

Q: 1. Find the first derivative of the function g(r) 6x + 27x2 +36x. g'(x) = %3D 2. Find the second…

Q: 3x-8 What is the derivative of ? Do not simplify your answer. 4 -x2

A: We have to find the derivative of the expression: 3x2-84-x2 Let y=3x2-84-x2 In this case we will use…

Q: 2. Given the function f(x) = 2x² + 3x + 1, a. Use the secant method to find the instantaneous rate…

Q: 2 We want to find the derivative of h(x) x2 4 + 6Vx. The first step is to rewrite each term of the -…

Q: 2)f(x)=(3x^(2)+8x+3)^-5 Find the derivative of the function

Q: x² +1 Find the second derivative of the function, f(x)= x² -4 %3D

Q: -6x 11x-5 + 22x-1 +5' — 6х 4 — 13х 3 2. (7 points) Find the derivative of h(x) = Do NOT simplify.

Q: fidn the first derivative of y with respect to x using increment method y=2x^2-5x+7

Question

x² + 1
What is the derivative of y=
x2 +4
(A None of the given choices
10x
В
(x²+ 4)²
-6x
(x²+4)?
6x
D
x2 + 4
6x
(E
(x²+ 4)²

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
Find the constant of proportionality. y is directly proportional to x. If x=30, then y=15.
Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it continues on its course indefinitely. Let D(t) denote its distance from Earth after t years of travel. Do you expect that D has a limiting value?
The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the original substance, x is the amount of substance formed, and k is a constant of proportionality. Factor the expression.