Let F(x) = f(x5) and G(x) = (f(x))5 . You also know that a* = 5, ƒ(a) = 2, ƒ'(a) = 10, ƒ'(a³) = 6 Then F'(a) = and G'(a) =

Q: Let F(x) = f(x¹) and G(x) = (ƒ(x))ª . You also know that a³ = 14, ƒ(a) = 3, ƒ'(a) = 12, ƒ' (aª) =…

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Q: If  f(x) = x2/(1+ x) , find f" (1)

A: We use quotient rule to find f'(x)

Q: Let F(x) = f(f(x)) and G(x) = (F(x))². You also know that f(5) = 6, ƒ(6) = 2, ƒ'(6) = 6, ƒ'(5) = 12…

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Q: Let F(x) = f(x5) and G(x) = (ƒ(x))5 . You also know that a¹ = 14, ƒ(a) = 3, ƒ'(a) = 8, ƒ' (a³) = 6…

A: Use the following formulae, to obtain the solution. Chain rule for differentiation:…

Q: Find f'(x). f(x)=(x5+1)-3

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Q: Find f'(x) if f(æ) = (x³ + 2x – 5)(3x-3+x-4).

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Q: Find f'(x) for f(x) = (x2 + 2)3

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Q: Let F(x) = f(r°) and G(r) = (f(x))° . You also know that a = 12, f(a) = 2, ƒ'(a) = 15, f'(aº) = 5…

A: We know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x   Given: Fx=fx9 ;…

Q: Let F(x) = f(f(x)) and G(x) = (F(x))². You also know that ƒ(8) = 11, ƒ(11) = 2, ƒ'(11) = 5, ƒ'(8) =…

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Q: f f(x) = 3x2 + 2x +1, find f'(2)

A: Given : f(x)=3x2+2x+1 To find out f'(2) , we take derivative Lets find out f'(x) . apply power rule…

Q: Let F(x) = f(x5) and G(x) = (ƒ(x))5 . You also know that aª Then F'(a): = = = 8, f(a) = 2, ƒ'(a) =…

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Q: find f'(x) for f(x)= (5x-2)3 (1-x3)4

A: It is given that the function is

Q: Let F(x) = f(x) and G(x) = (f(x))*. You also know that a³ = 12, ƒ(a) = 3, ƒ'(a) = 5, ƒ' (aº) = 8…

A: If we consider a function y which is a function of x only. Then, the derivative of y with respect to…

Q: If ƒ(x) = ƒ'(x) = f'(5) = 7x+2 6x + 2 "" find:

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Q: Find the function f(x) if f''(x)=12x-6, f'(2)=4, and f(2)=-4

A: The second derivative of the function is given by f"(x_=12x-6, f'(2)=4 and f(2)=-4.

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

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Q: 2x² – 4e*, find: If f(x) = 2x²

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Q: Let F(x) = f(x³) and G(x) = (f(x))³. You also know that a² = 11, f(a) = 3, f'(a) = 6, ƒ' (a³) = 14…

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Q: ng the table below. 3 4 3 1 4 3 3 2 1 2

A: We have to find the value of the given following conditions according to the given information

Q: Let F(x) = f(x³) and G(x) = (ƒ(x))⁹. You also know that a8 = 15, f(a) = 3, f'(a) = 10, ƒ'(aº) = 12…

A: Firstly we differenciate the given function and then put given values.