Use the table to determine Dfg(x))) at x=3. 234 432 f(x) 1 f(x) 3 -5 1 4 g(x) 2 g'(x) 1 4 13 6-51 -15 -5 3\ 1.

Q: 3x² Find f'(x) given that f(x) = Vx² + 2x -1

A: Given: f(x)=3x2x2+2x−1f'(x)=? Let, y=3x2x2+2x−1dydx=?

Q: Let f(x) = x² – 6x +3 with domain 0 < x < 3. Calculate (f-1)'(-2) . Note: Round to two decimal…

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Q: Find f (x) if f'(x) = 3x² + 4x + 1 and f (2) = 21. f (x)

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Q: Use the given information to find f '(9). f(x) = 3g(x) + h(x) g(9) = -4 and g'(9) = -1 h(9) = -5 and…

A: Given: fx=3gx+hx.We need to find f'9.

Q: Differentiate the following with respect to x: f(x) = x³In (x)

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Q: Let f(6) = 54 and f'(6) = 19. Let g(x) = (13+x²)f(x). Calculate the value of g' (6). %3D

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Q: 3 X 1 2 3 4 5 f'(x) 5 12 4 3 g'(x) 3 245 1 [3f(x) - 4x] x=3 =(Type an integer or a decimal.) www

A: We will find the required.

Q: Evaluate X dp- (х -1)(2х -1)

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Q: f(x) = x². Simplify f(x) = f(a) x-a , xa.

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Q: Determine f(x) given that f'(x) = 12x2 – 4x and f(-3) = 17

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Q: Estimate g(1.2) − g(1) if g'(1) = 4.

A: Given: g'(1)=4 Now, Using the Linear approximation formula:

Q: Verify that f′(x) = g′(x) and explain the relationship between f and g

A: fx=3xx+2f'x=ddx3xx+2=x+2(3)-(3x)(1)x+22=3x+6-3xx+22=6x+22

Q: In f(x) dx = F(x). F(x) is called the

A: follow the procedure given below.

Q: Let f(z) = 11 – z f (z) =

A: To write the inverse of the function y = f(x), we need to rewrite the terms such that we could write…

Q: Consider the function f(x) = (g(x)h(x))^2 and the following function values: f(5) = 1 g(5) = −1…

A: Given: f(x)=[g(x)h(x)]2f(5)=1g(5)=−1h(5)=2g'(5)=3h'(5)=4f'(5)=?

Q: posted

A: Please refer to the image below

Q: What is the length L of the interval on which the function f(x)=x4e−x is increasing?

A: Given

Q: Which of the following is the second derivative of f(x) = 2x - 6x2 + 5x - 9? Select one: a. f"(x) =…

A: We are given with the function and we have to find the second derivative for which we have to…

Q: Differentiate the functions. a) f(x) = 2 – 5x + b) f(x) = e* + sinx c) f(x) =

A: Differentiate wrt x

Q: f(x) = x' +x² +1 and g(x) = 4 – x²

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Q: Given f(x)=x+(1/x).   Find f(a).

A: Given, The function is f(x)=x+(1/x).

Q: I. Differentiate the given functions: 1. f(x) = 3e* – 9* 2. f (x) = In V6x +7 3. f(x) = x²e* %3D

A: Solution:Given : 1. fx=3ex-9xlet f1(x)=3ex and f2(x)=9xtherefore f'(x)= f1'(x)-f2'(x)f1'(x) = 3ex…

Q: Find the general form of f if f'(x)= 9f(x). f(x) = ]

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Q: Find the general form of f if f'(x) = 5f(x).

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Q: Differentiate the function and simplify the answer. f(x) = 2x e2r'+x² Select one: f'(x) = 2xe2r³+x?…

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Q: (X),4 %3D (b) Compute the derivative of f(x). (g) 4 (x)J – (4 + x) 10xh + 5h“ – x + 8 8 + x – 2. (a)…

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