Suppose a² = 8, F(x) = f(x³), G(x) = (f(x))³ and: f(a) = 2, f'(a) = 6, f'(a³) = 2.

Q: Find f'(x) and simplify. f(x) = 5x4 Inx

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Q: Find f’’(x) of F(x)= (X^2)/(1+2x)

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Q: F''(x)=6x+4 and f'(-3)=-2 and f(-3)=-1 Find f'(x)= and find f(2)=

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Q: Suppose a² = 8, F(x) = f(x³), G(x) = (f(x))³ and: f(a) = 2, f'(a) = 6, f'(a³) = 2.

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Q: find f(x) if f'(x) = 9 / (1 - x2) and f(sqrt 3) = 4

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Q: Find f'(x). f(x)=(7x+4)(9x-3) f'(x)= (Type an exact answer.)

A: Given, .Rules of derivative:

Q: Find f. f ''(x) = 20x3 + 12x2 + 4,    f(0) = 6,    f(1) = 1 f(x) =

A: According to question,Given Derivative,f''x = 20x3 + 12x2 + 4,f0 =6,f1 = 1

Q: f(x) = x2 + 2x + ( 9 divided by x) a.) Find f '(x).

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Q: Find f’(a) F(x)=3x^2 - 5x +4

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Q: For the function F(x)=x^2/3+x Find F''(x)

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Q: Find F'(2) given that f(2) = 5, f'(2) = 6 , g(2) = -1, g'(2) = –7, and F(x) = f(x)g(x).

A: Given: f(2)=5f'(2)=6g(2)=−1g'(2)=−7andF(x)=f(x)g(x)

Q: f''(x) = 2x + 2 and f'( – 2) = 2 and f(– 2) = 3. Find f'(x) = and find f(2)

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Q: Find f. f ''(x) = 4 + 6x + 24x2,    f(0) = 5,    f (1) = 14

A: To find out the function f whose double derivative and some initial conditions are given.

Q: Find f. f"(x) = 48x2 + 2x + 6, f(1) = 5, f'(1) = -5 %3D

A: Given,  f''x =48x2+2x+6  f'1 =-5 f1 = 5  We have to find fx

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: 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: Find f'(x) if f(x)=(5x-6)2 and then find f'(x) if f(x)=(8x-7)/x

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Q: Find f'(a) f(x) = 4x^2 -5x + 3

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

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

Q: Find F'(-3) given that f(-3) = -5, f'(-3) = -6, g(-3) = 4, g(-3) = -1, and F(x) = f(æ)g(x). F'(-3) =

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Q: Suppose that f(x)=16e^x+18ln(x)Find f′(3)f′(3). f′(3)f′(3) =

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Q: Find f'(a). f(x) = 4x2 - 5x + 3 f'(a)

A: Given: fx=4x2-5x+3 for finding f'a, we differentiate given function with respect to x

Q: Find T' (X). f(x) = (x²-3) (x²+7) f'(x) = (Type an exact answer.)

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Q: F''(x)=6x-1 and f'(-1)=6 and f(-1)=2 Find f'(x)= and find f(3)=

A: F''(x)=6x-1 and f'(-1)=6 and f(-1)=2 To find Find f'(x)and find f(3)