Consider F(x) = = F(0) = 0 F'(3) = 6 F'(1) = 0 O F'(4) = 10 F'(2) = 2 I tf(t) tf(t) dt. Which of the following is FALSE?

Q: 2x If f is the function given by f(x) = Vi? -t dt , then f'(2) =

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Q: Compute the derivative of the function F (x) = L evi dt.

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Q: Suppose that f (1) = 1, f'(2) = 5, f'(1) = 4, g(1) = 2, g'(1) = 7. Find a. (fo g)'(1) b. (9((x)))…

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Q: (1) Let g(x) :| f(t) dt. What is g'(x)? a

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Q: =S₁² Vt2 + 17 dt. Find 8 Let F(x) = (a) F(8) = (b) F'(8)= (c) F"(8) -0

A: Let .To find the following:

Q: Use the table below to compute h'(2) for h(x) = 2 + 2g(x). f(1) g(x) f'(x) | g'(x) 0. 0. -2 2 1/2 -3…

A: Given query is to find the derivative of h(x) at x=2, from the given table.

Q: Given f(x) t'dt, answer the following: f'(x) =

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Q: Let y = [f(x)]3 and suppose that f'(1) = 4 and dx = 10 for x = 1. Find f(1)

A: Consider y=f(x)3

Q: Find f. f"(t) f(4) = 10, f'(4) = 5 f(t) =

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Q: Let F(x) = sin 3t dt, please find F'(0)

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Q: Let F(x) be the function defined as follows: F(x)= (1+ In(t))*dt What is the value of F'(e) ?

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Q: 1 Let f(x) = 8 + In (t) dt, for x2 1. Find f'(2).

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Q: 11 If f(x) t*dt then f'(x) =

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Q: 3 Let y =(f(u) + 3x)² and u = x³ f'(4) = = -89 360 X 2x. If f(4) = 8 and dy dx = 19 when x = 2, find…

A: y=[f(u)+3x]2, u=x3-2x, f(4)=8And dy/dx=19 when x=2.

Q: You have not submitted your answer. Find the derivative of the following function F(a)(2t 1) dt…

A: Use fundamental theorem of calculus and compute the derivative of the function

Q: Find f. f(t) f'(t) = t³ + -/-/7₁ t5 t> 0, f(1) = 4

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Q: 1. If F(x) = - eta dt, find F(1) and F'(x).

A: If Fx=∫exe et2 dt, then to find F1 and F'x.

Q: Suppose that f is a function defined as f(r) = | (+4)dt . Find each of the f(1) = f(x) = f'(r) =

A: Answer and explanation is given below

Q: Find the function f(x), such that f(x)= In(3x) J ƒ(1)=1.

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Q: Let h(x) = If f(2) = 1 and f'(2) = -1, find h'(2). A B C OD E A. 36 B. 27 C. 12 D. -12 E. 48

A: Step 1:To solve the problem, let's break it down step by step.Given the function:h(x)=[f(x)x​]3We…

Q: 2x Find F'(x) given F(x) = S t2dt. -2x

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