Assume that a function F is defined by F(r) = dt. Then, F'(2) is given by (A) F'(2) = 4V3 4. (B) F'(2) (C) F'(2) = 4 (D) F'(2) = 8V6 (E) F'(2) 5. (F) F'(2) = 8V3

Q: Find f'(a). f)t( 1 t² +4

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Q: Find f '(3), where f(t)= u(t)v(t), u(3) = (1, 2, -2), u'(3) = (7, 1, 5), and v(t) - (t, 2², 2³).…

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Q: Find f. r'(x) = Vx(3 + 10x), (1) = 11 (x)

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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: Let F(z) = f(f(2)) and G(r) = (F(x))'. You also know that f(3) = 12, f(12) = 3, f'(12) = 5, f'(3) =…

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

A: Given: ft=4t+20t+7   -1

Q: If f(x)=V x + Vx , find the value of f'(1) /2 (a) 4 (b) 3/2 (c) (d) 2 (e) 8. (f) 1 (g) (h) 1/41/2

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Q: h' (2) = 4, then f'(2) = ? We know the following 5. Suppose that f(h) and h(r) are functions such…

A: Using the given value we find the composition function value and value of f’(2)

Q: Find f'(w) for the function. 8w7 - 9w5 f(w) = 7w5 f'(w) = %3D

A: differentiate f(w) with respect to w

Q: Let f(x) = e³x²(9x − 2). Compute f'(x). f'(x) =

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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. f ''(t) = 9/ squareroot t,    f(4) = 31,    f '(4) = 12

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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: 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). f(t) = 4t + 24 t + 9

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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) =

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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: Find f '(a). f'(a) f(t) = 4t + 16 t + 9

A: We can solve this as follows:

Q: Let f(t) = (t² + 4t+8) (2t² + 3). Find f'(t). f' (t) = Find f'(5). f'(5)=

A: The given function

Q: Find F'(2) given that f(2) = 5, f'(2) = 6 , g(2) = -1, g'(2) = –7, and F(x) = f(x)g(x).

A: Given: f(2)=5f'(2)=6g(2)=−1g'(2)=−7andF(x)=f(x)g(x)

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'(t) if f(t) = − 5t² + 6t + 1.

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Q: Let F(4) = 2, F'(4) = 4, H(4) = 2, H'(4) = 3. %3D A. If G(2) = F(z) · H(2), then G'(4) = %3D B. If…

A: Given : F4 = 2, F'4 = 4, H4 = 2, H'4=3

Q: Find a function f that satisfies the conditions. f"(x) = x-3/2, f'(1) = 4, f(4) = -2 f(x) =

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Q: Find f(x). f'''(x)=3sinx, f''(0)=3, f'(0)=1, f(0)=0

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Q: Find f(x) =2x2+3x-5, then prove that f'(0) +3f'(-1)=0

A: Givenfx=2x2+3x−5To provef'0 +3f'−1=0

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'lw) given f Cw). 2 tw 3+9w

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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: Let f(x)= 57+52+4 f'(x) = = f'(3) = =

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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 '(a) f(t) = (8t + 34)/(t + 9) f '(a) =

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Q: Let f(Wx)= 6x. Then f' (2)= %3D 12/2 1 12 12 24 - 12 6.

A: The given function is: fx=6x

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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