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

Q: Let f(x) = √2x. Find ƒ'(x). ƒ'(x) Find f¹(3). ƒ' (3) = =

A: Given: f(x) = √(2x)

Q: Let ƒ'(x) = ƒ'(2) = f(x) = (x³ + 4x + 8) ²

A: f(x)=(x3+4x+8)2 d dx(xn)=nxn-1d dx(constant)=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: If f(x) = (x − 2) 5(2x+1) 6, then what is f"(0) ?

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

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Q: If f(t) = (2t - ), find ƒ' (t).

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Q: |If f(x) = /7x + 10, find f'(x).

A: Given problem is :

Q: f'(x) = +6) ¹¹(™). Find f'(x). Let f(x) = (x³ + 6)¹(x).

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Q: (-7)=|

A: Topic:- derivatives

Q: Compute f'(3), where f(x) = x2 - 8x.

A: For a function f(x) its derivative is given by the definition limh→0f(x+h)-f(x)h. For some standard…

Q: If f is one-to-one and f(1) = 5, f(3) = 7, and f(8) : - 10, find f-'(7), ƒ¯'(5), and f¯'(-10).

A: f is one to one and given  f(1)=5    therefore f-1(5)=1 f(3)=7    therefore f-1(7)=3 f(8)=-10…

Q: Find f'(x)) D f(x) (2) f(x) 3x³ +5x²12-2 2 6x -3x + 2x12 2

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Q: First find f' and then find f. ƒ"(x) = ƒ'(1) = −1, f(1) = -3. f'(x) = f(x) = (5x³ + 9x² + 10x + 5),…

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Q: Find f. f ''(t) = 9/sqt t,    f(4) = 29,    f '(4) = 9

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Q: If ƒ(6) = 7 and ƒ’(6) = 4, estimate ƒ(5.8). f(5.8) ~

A:

Q: 5x+2x+3 f(x) = √x

A: f(x)=5x2+2x+3x

Q: If f(x) = 6 + Find f'(3). X 3 x² " find ƒ'(x).

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Q: If find f'(x). ƒ'(x) = | Find f'(4). ƒ'(4) = f(x) = = 7-x² 8+x²

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Q: Find f'(x) if f(x) = -7x5 +4√x. f'(x) =

A: To find derivative f'(x)

Q: Let f(x) ƒ'(0) = = 2e²+3 + e².

A: Given query is to find indicated derivative.

Q: If f(x) = (3x + 5)-', find f'(x). Find f'(3).

A:

Q: If f(x) = 7x² f'(2) = f''(x) = f''(2) = 8e, find:

A: The given function is fx=7x2-8ex

Q: If f(æ) = 3 + 3 find f'(x). Find f'(1). Find f''(x). Find f''(1).

A:

Q: If f(x) = √7x, find f'(x). Find f'(2).

A: Solve

Q: Find h(t) if h"(t)=t^(3/2), h'(4)=2 and h(0) = 3.

A:

Q: If ƒ(t) = (t² + 2t + 4) (7t² + 6), find ƒ´(t). Find f '(5).

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Q: If f(x) = V5x + 6, find f'(x). %3D Find f'(3).

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: Suppose that Find f'(x). f'(x) f(a+h)-f(x) = -8ha² - 1hr8h²z5h² +6h³.

A: To find the derivative

Q: Find and interpret f'(4) and f''(4) f(x) = 2/

A: f(x)=2x To find: f'(4) , f''(4)

Q: Let f(x) = = f'(x) = = /3x² + 3x + 2 2

A:

Q: f"(x) = 5x – 5 %3D - and f' (-3) = 5 and f(-3) = 5. %3D Find f'(x) = and find f(4) = %3D

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Q: Find f'(a). ƒ'(a) = f(x) = V 2 - 2x

A: Given query is to find indicated derivative.

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: Suppose f''(x) = 6x + 9e ƒ'(0) = - 8, and f(0) Then f(x) = = - - 3x - 5.

A: