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

Q: Let f(x)= (x^3+3x+2)^2 f'(5)= ?

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Q: Find f f ''(x) = 8 + 6x + 36x2, f(0) = 2, f (1) = 13

A: *to find:- f(x).

Q: Find(f ^−1)'(a).f(x) = 4x^3 + 4x^2 + 7x + 2, a = 2(f ^−1)'(a) =

A: Here a function f(x) is given and value of a is given we need to find the derivative of inverse of…

Q: find f'(x) for f(x)= x2-x-20/ x+4

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Q: Find (f^-1)'(a).  f(x)=4x^3+3x^2+8x+9,    a=9 (f^-1)'(a)=

A: Topic:- function and derivatives

Q: f(x)= 3*+log2* Find f'(x)

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Q: (0,F) (L.F) (L+ F, 0) (L+F+ LF, 0) 2. The following is the graph of f'(x).

A: From the graph,when 0≤x≤L, f'x=F Therefore, f(x)=∫f'xdx=∫F dx=Fx+cc being an integrating constant…

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

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Q: find f'(x) or f(x)=(x^2+2)^3

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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: f(x) = { (1,-2), (3,-5), (4,0), (6,8)}f^-1(x) =

A: By interchanging the first and second coordinates of each ordered pair in f, we can define the…

Q: Find f’(a) F(x)=3x^2 - 5x +4

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Q: f(9) = 2, f(2) = 3, f'(2) = 13, f'(9) = = 13 Find F'(9) and G' (9). F'(9) : G' (9) =

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Q: Find the function f that satisfies f '(x) = 3x^2- 8x+ 2 and f(1) = 6.

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Q: Determine f '(x) for f (x)=(3x2+1)2

A: It is known that the chain rule is a formula for computing the derivative of the composition of two…

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) for x2 f(x) = x + 6 at a = 3.

A: Given function :

Q: Find f. f(x) = f"(x) = 6 - 6x - 40x³, f(0) = 5, f'(0) = 7

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Q: bind f'(x) F(x) = X ³+2 x ²-4 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) for f(x) = 3 − 2x + 4x2

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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: 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)