Assume that a function F is defined by F(z) - 21 + 2 t. Then, F1) is given by (A) F'(1) = 4v3 (B) F'(1) = (C) F'(1) = 4 (D) F'(1) = 8V (E) F'(1) - (F) F'(1) = 12V3 %3D B

Q: Find f'(a). f)t( 1 t² +4

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Q: Find f such that f'(x) = 10x - 7, f(8) = 0.

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Q: 2 Let f(x) = √3x² + 3x + 2 f'(x) = ƒ'(1): = OF

A: Topic - Derivative of  a function We are given, f(x)=3x2+3x+2Formulas usedChain rule:…

Q: find f'(a) f(t)=4t+20/t+7

A: Given: ft=4t+20t+7   -1

Q: Let f(x)=√1+4x f'(3)

A: We know that the derivative of x^n=nx^(n-1)

Q: 2 Let f(x) = Compute f'(a). 7x +2 f'(a) = %3D

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Q: If f(t) = (t + 7t + 3) (5t? + 4), find f'(t). %3D Find f'(1).

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Q: Find f'(a). 1 f(t) t2 + 5

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Q: let f(2)=3, f'(2)=4,g(2)=3,g'(3)=2. find (g o f)'(2)

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Q: Find f '(a) f(t)6t12 t 7

A: The given function is

Q: Let 1 + 1 f(x) = 9x - 2/x + 4x + %3D Find f' (1). Enter your answer as an INTEGER: f'(1) =

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Q: Find f such that f'(x) = 8x-9, f(7) = 0. f(x) = 0

A: f'(x)=8x-9, f(7)=0

Q: find f'(a) f(t) = 1/(t2+7)

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Q: csc xdx cotx

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Q: Find fsuch that f'(x)= f(16) = 61.

A: To find: f(x) such that f'(x)=7x, and f(16)=61.

Q: Find f '(a). 4t + 12 f(t) t + 9 f'(a) =

A: derivative

Q: Find f '(a). 8t + 2 f(t) : t + 7 f '(a) =

A:

Q: Let f(x) = 4x5/4 + 4x3/2 + 8x. Find the following. (a) f '(1)   (b) f '(16)

A: f(x) = 4x5/4 + 4x3/2 + 8xFinda) f'( 1)b) f'(16)

Q: f' (x) = 4\/x – 6x² + 3 where f(0) = 1

A: Given: f'x=4x-6x2+3; f0=1 for finding fx, we integrate f'x so, fx=∫4x-6x2+3dx…

Q: Find f if f"(x) = 0, f(0) = 2, f'(0) = 1

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Q: = (t² + 5t + 5) (5t² + 4), find ƒ'(t). If f(t) f’(t) = Find ƒʼ(3). ƒ'(3) =

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Q: Find f such that f'(x) = 5x² + 7x − 9 and f(0) = 9. f(x) =

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Q: Let F(x) = f(xf(x)) where f(2)=4, f(8)=5, f'(2)=-3, f'(8)=7. Find F'(2)

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Q: Find f '(a). f(t) =  3t + 9 t + 8

A: Explanation of the solution is given below...

Q: Let f(x) = √5x² + 3x + 7 f'(x) = f'(2) =

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Q: f"(z) = 7z – 1 and f'(-2) =-1 and f(-2) = -4. Find f'(z) = and find f(4) = !!

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Q: Find f'(t) if f(t)= -2t² - 8t+7. f'(t) =

A: We need to find out the derivative of the given function.

Q: Find f '(a). f(t) = 8t+18/t+7

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Q: Find f such that f'(x) = 4x-5, f(4) = 0. f(x) =

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Q: Find f '(a). 8t + 18 f(t) t + 3

A: The function is given as ft=8t+18t+3 Differentiate the above function w.r.t 't' f't=ddt8t+18t+3

Q: Find f'(x) for the given f(x). (a) f(x) = x8 – 7 /7 + 9x¯7

A: f'(x)=ddx(f(x))f'(x)=ddx(x8-7x+9x-7)f'(x)=ddx(x8)-7ddx(x)+9ddx(x-7)       (ddxxn=nxn-1)

Q: What is f'(3) if f(z) = z/2z - 2 I.

A: d(xn)dx=n(x)n-1