2. Given that f is a differentiable function with f'(3) = -5, find g'(1) where g(x) = f(4x-x²)

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A: Given that f(x)=3x2So, f(x)=3x-2

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A: f(x)=-2x6d dx(xm)=mxm-1

Q: Differentiate. x2 -9 f(x) = In f'(x) = O

A: Explanation: Given that,  f(x)=lnx2-9x

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A: We have to find the integral of f'(x) to obtain f(x) Steps: 1. Integrate with respect to x 2. Apply…

Q: Suppose g(x) = x²f(x) and it is known that f(2) = 5 and f'(2) = -2. Evaluate g'(2). g'(2) =

A:

Q: Let f(x) be a one-to-one function such that f(2)=5 and f'(2)=-4.  Find f(-1)'(5)

A:

Q: x-²²-3 ²-3, determine the x-value(s) where f(x) changes from concave up to concave down. f(x)= Ox=…

A:

Q: 3. Find f'(x) for f(x) = 3x-4 2x+3

A:

Q: Find f. f "(x) = x-2, x > 0, f(1) = 0, f(5) = 0 f(x) =

A:

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A: Given

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A:

Q: X=(1)+ wam (xf pulf Z-x7=(x)₂ + £I-E#

A: Topic = Integration

Q: Let f(x) = -V5. Find f'(x).

A:

Q: If f is the function f (x) = + 4/x, then f' (4)

A: The function is  f(x)=4x+4x

Q: Find y' if x' = y*

A:

Q: Consider the function. Find f'(x). f'(x) = Find F"(x). f"(x) = f(x) = x³ - 3x² + 3 Find f"(-2) and…

A: We will use simple differentiation to solve it.

Q: The functions f and g are differentiable and h(x) = f(g(x)). Use the information below to find…

A: We know that If h(x)=f(g(x)) then h'(x)=f'(g(x))g'(x)

Q: 2. Find f'(x) for f(x) = x²e.

A:

Q: Find f'(1) for the following function

A:

Q: а. f(x) %3D х3 In x + cos x b. f(x) %3D logs(3х3 + 2х + 1) ((5х+1)6 Vx2+x с. f(x) %3D In

A:

Q: f(3.8) - If we knew that f"(x) < 0 on the interval (3.5, 4.5), would your estimate above be an…

A: We need to find f(3.8)

Q: Let f(x): f'(x) = and f"(x) = = 7x² 4 - 3x -. Then

A: Given query is to find indicated derivative.