dt, then F'(x) = 0 a) If F(x) = √5 / / di 20 3 b) If F(x) = ² = dt, then F'(x) = c) If F(x) = √²/1/1 dt, then F'(x) = = t 2 0

Q: Let f(t) = (t² + 4t+6) (7t² + 3). Find f' (t). f' (t) Find f'(3). f' (3) =

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

A:

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: If f(x) x = √₁² (2²³ + Sº (t³ + 5t² + 2), dt then ƒ''(x) = =

A:

Q: Find f. f ''(t) = 3\sqrt(t),  f(4) = 17,    f '(4) = 4 f(t) =

A: It is integration using initial conditions.

Q: Let f(x) = |=| ƒ' (5). 0= √x-4 √x +4 Find f'(x).

A:

Q: Find f'(z) of f(z) = e(z^3) - 5z.

A: Given :- f(z) = e(z^3) - 5z

Q: Suppose f(x) √₂+² = √1+tdt 2x find f'(1).

A:

Q: Suppose F(x) = f(x² + 1). Find F'(1) if f'(2) = 9.

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Q: -1² ƒ'(x) = 3x² √√x6 +1 If f(x) = √t² + 1 dt then

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Q: f(x) = (2x – 3)²

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Q: If f(t)=(t^2+4t+3)(5t^2+6). find f('t) and f'(3)

A: Given: f(t)=(t^2+4t+3)(5t^2+6) find f('t) and f'(3) = ?

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

A:

Q: F=11+/2x+3, find F'(3) find F'(8)

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

A:

Q: If f(t) = (t² + 6t + 7) (7t² + 4), find ƒ'(t). Find f'(2).

A: INTRODUCTION A function's differentiation can be used to display the rate of change of a function at…

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

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Q: 1 Assume that f'(4) = -5, g'(2), g(2)=4, and y=f(g(x)). What is y' at x = 2? 8 Atx=2, y'= (Simplify…

A: The chain rule of differentiation is given by

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

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Q: Find f'(t) if f(t) = − 5t² + 6t + 1.

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Q: If f(r) = 3 sec(8x), find f'(r)

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Q: If f (x) = 3x²-2 4x+1 then f'(-1) =

A: Given

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) =

A:

Q: find f'(t) for f(x)=x/8x-8

A: We will need the quotient formula to find f'(x) Assume u and v, then find u' and v'

Q: Find f such that f'(x) = f(x)= f(16) = 21.

A: Topic:- application of integration

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

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Q: Find f such that f'(x) = f(x) = 9 √√x 1 f(4) = 48.

A: Integrate both side given function

Q: If f(t)=(t^2+6t+2)(7t^2+5). find f'(t) and f'(4)

A: Given: f(t)=t2+6t+27t2+5

Q: If f(t)=(t^2+4t+8)(7t^2+2). find f'(t) and f'(1).

A: Please refer the attached image for complete solution.