Suppose that F(x) = Find F"(2). -0 = f* f(t) dt. where F" (2) = - SS² ² f(t) = √3+u6 u du.

Q: Find f'(a). f)t( 1 t² +4

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Q: Find f. 4 f'(t) 1 + t2 f(1) = 0

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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 y as a function of a if y(0) = 7, y/(0) = -12, y'(0) = 108. y(x) = y" + 36y' = 0,

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Q: Find f. f'(t) = 2t – 2sint, f(0)=7

A: From the given problem: f't=2t-2sint And f0=7

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

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Q: Find f. f"'(t)  = t   - √t

A: To find f"(t) we integrate f"'(t)

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

A: Given : ft = t2 + 7t + 35t2 + 6

Q: Let S(x) = 4x$ (x' – 6). Evaluate the following specific values of f: (A)(2) = (B) (4) =

A: The objective of the question is evaluate the values.

Q: x () - (-). y (1) J

A: Givenf(t)=sect   We are required to find f''π4

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

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Q: Let h(x)=√xf(x). If we know that f'(7) = 6ƒ(7), find a value for f(7) such that h'(7) = 4 (a) f(7):…

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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: f(t)= 140/3 t^2 + 3000 does concavity for f(t) change . t is in days

A: Given : f(t) = 140/3 t2 + 3000

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

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

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Q: Find f(x) if f "(x) = x -3/2, f ' (4) = 1  and f(4) = 4.

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

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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: A 2xe ²x² B Xex² Ⓒ2e+² D 2xex² Let f(x)= ex², find f'(x)

A: given  f(x)=ex2d dx(ex)=exd dx(xn)=nxn-1

Q: Find f '(a). f(t) = 4t + 24 t + 9

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Q: Use the second derivative to determine f"(4) for the function f (æ) = x² In (x) 2ln(4) +2 3ln(4) +3…

A: Derivative of the function

Q: Find f. f ''(t) = 12/sqrt(t)                          ,    f(4) = 38,    f '(4) = 18   Recall that…

A: Given Integrating both sides, we get But f'(4)=18

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

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Q: Find f ′(a) f(t) = t^5 - 3t

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Q: Find f'(a) for -7 f(x) = V11 – 9a f'(a) = %3D

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Q: goo3D 4X Sxt7

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Q: Suppose that f(x + h) – f(x) = 7hx? – 8hx + 5h²x – 3h? – 7h³. Find f'(x).

A: The quotient difference formula is given as, f'x=limh→0fx+h-fxh it is given that…

Q: If f(t) = (t² + 3t+2) (5t² + 4), find f'(t). 201³ + 45t² + 32t Find f'(2). 40 X

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Q: Find f '(a). f(t) =  3t + 9 t + 8

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

Q: Let y= f (x) be a function with f (4)=12 and f(4)= 0.5.

A: We have to find

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: f(3.8) - If we knew that f"(x) < 0 on the interval (3.5, 4.5), would your estimate above be an…

A: We need to find f(3.8)

Q: Let F(x) = - [² 2 √t dt. Find F" (2).

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

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Q: Find f. f"(t)  = 3/√ t  ,f(4)  =20, f'(4)   =7

A: We have to find f where, f''t=3t, f4=20 and f'4=7. Integrating both sides, ∫f''t…

Q: Find f '(a). f(t) = 8t+18/t+7

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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: F(x) = Vt² + 11 dt

A: F(x)=∫5xt2+11 dt