Let F(x) = f(x¹) and G(x) = (f(x))¹. 3 You also know that a³ = 10, ƒ(a) = 2, ƒ'(a) = 6, ƒ'(aª) = 4 and G'(a) Then F'(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: 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(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 f(3) = 9, f(9) = 3, f'(9) = 12, f'(3) = 5…

A: Given functions are Fx=ffx and Gx=Fx2. Also we have given f3=9,f9=3, f'9=12, f'3=5 Differentiating…

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: 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: Let F(x) = f(f(xæ)) and G(x) = (F(x))² . You also know that f(9) = 3, f(3) = 2, f'(3) = 5, f'(9) =…

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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 F(x) = f(g(x)), where f(-1) = 9, f'(-1) = 3, f'(5) = 4, g(5) = -1, and g'(5) = 8, find F'(5). %3D…

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Q: A table of values for f, g, f', and g' is given. f(x) g(x) 3 2 1 8 7 2 X 1 2 3 (a) If h(x) =…

A: A table of values for f, g, f', and g' is given. x fx gx f'x g'x 1 3 2 4 6 2 1 8 5 7 3 7 2…

Q: Let F(x) = f(a") and G(2) = (f(x))". 3, f(a) = 3, f'(a) 15 You also know that a 10, f'(a") Then…

A: F(x)=fx6 and G(x)=fx6

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: Let F(æ) = f(f(æ)) and G(x) = (F(x))² . You also know that f(3) = 10, f(10) = 2, f'(10) = 3, f'(3) =…

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Q: Given f''(x) = 6x + 5 and f'(0) = 6 and f(0) Find f'(x) and find f(3) = = = - 6.

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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: 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.