If f(x)=x, then f'(5) = (A) 0 (В) (C) 1 (D) 5 25 (E)

Q: Suppose F(x) = f(x6), G(x) = (f(x)) and: a³ = 4, f(a) = 3, f'(a) = 15, f'(aº) = 10. Find: (a) F'(a)…

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Q: If f(t) = (t + 7t + 3) (5t² + 6), find ƒ'(t). Find f'(5).

A: Given : ft = t2 + 7t + 35t2 + 6

Q: f(x)= x2/5 Where it concave up/down?

A: To find the concavity of the given function.

Q: 3) Let f(x)= 2x+3 . Calculate by definition f'(2).

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Q: Suppose F(5) = -7, F(9) = 3, and F'(x) = f(x). = [ 7f(x) dx

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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: 4 Suppose that f'(x) = 2x for all x a) Find f(5) if f(0) = 0. b) Find f(5) if f(4) = 14. c) Find…

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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: e8(x) and g(x) 43. Find f'(2) if f(x)

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Q: If f(t) = (t + 5t + 4) (2t² + 2), find f'(t). Find f'(3).

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Q: -1 Ax) = 7xsin (x) f'(x) =

A: SOLUTION-

Q: f(x) then: f'(x) = f'(1) -

A: We are asked to find the derivatives of the function.

Q: If f'(x) = 3x2 + 2x and f(2) = 3, then f(1) = (A) – 10 (B) -7 (C) 10 (D) 13

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Q: If h'(3) = 5 and h'(1) =-1, then h"(x)dz %3D (A) -6 (B) 4 (C) 5 (D) 6

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Q: f(x) 132. Let h (x) = g(x) Find a. h' (1), b. h' (3) , and с. h' (4).

A: Given

Q: If f(x) (1)? = 2 x² + 3x x+1 " then what is

A: Given: f(x)=x2+3xx+1

Q: If f(x)=(x– 2)² +4, find: f'(x) b f'(2) {r: f'(x)= 0} a

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

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Q: a) If f (x) = 12x, find f' (27). %3D

A: Solve the function

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

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Q: If '(3) = -1 and h'(1) = 5, then "(r)dr= (A) -6 (B) 4 (C) 5 (D) 6 (E) 9 (F) 11

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Q: y = f(x), find f'(a) f(x) = 5x+4 a = -1

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Q: Find f '(a). f(t) =  3t + 9 t + 8

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

Q: Suppose F(x) = f(x³), G(x) = (f(x))³ and: a² = 10, f(a) = 3, f'(a)=4, ƒ'(a³) = 8. Find:

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Q: B. f"(x)=8x³ +5, ƒ(1)=0, ƒ'(1)=8

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Q: Find f'(x) when f(x) is written in the following form: (x² – 3x + 2)z f(x) (x² – 9)Ž

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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: If f(t) = (t + 3t + 6) (4t² + 3), find f (t). Find f'(3).

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Q: If f(x) = (2² + 5x + 3)“, then s'(#) - [ f'(x) -

A: To find the derivative of the given function, we need to use chain rule of differentiation and some…

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)