Find f(x) such that f'(x) = 9x² O f(x) = 3x³ - 2x² + 4 O f(x) = 3x³ - 2x² + 10 O f(x) = 3x³ - 2x² +8 O f(x) = 3x³ - 2x² +5 O f(x) = 3x³ - 2x² + 7 - 4x and f(1) = 6.

Q: FX)=f(f(x))and G(x)= (F(x) F(4)=13f(13 )=3 f(13)=6f(4)=6 OF(4)- G'(4)=

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Q: Let f(x) = -3x√x + f'(x) = -8 35 -4 4 -18x³√x - ³x³√x + 24x¯4√x - NIG F X X

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Q: If f(x) = x* + 7, g(x) = x - 5, h(x) = Va, then fo g(x)= go f(x)= ho g(x)= %3D

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Q: Differentiate

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Q: The domain of the function f(x)=√12+4x−x^2 is the closed interval [A,B] where A= and B=

A: Domain is the set of all values that can be taken by x so that the equation is defined.

Q: Find the derivative of the function g(x) = g'(x)= = e² 4 - 2x

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Q: The maximum number of turning points possible for f(x) = 3x" – 6z² + 5x – 31, is

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Q: h = (-6x³ + 9xª + 5x7) (7 + 5x – 4x?). Then h= fgwhere %3D f = and g = Using the product rule h'(x)…

A: differentiate this with product rule.

Q: Let f(x) = 4x - 2 and g(x) = x2 Then (f o g)(x) 3x + 4. (go f)(x)

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Q: Let f(x)=2x+3 and g(x)=x+√x+2 Find f+g   (f*g)(x)

A: Given function is f(x)=2x+3 and g(x)=x+√x+2

Q: f(x) = In (1+x³)

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Q: fƒ(x) = x² + 2x − 1, g(x)=2x-3, evaluate (gof) (2)

A: Given query is to find indicated composite function m

Q: If f(x)=x^2−2 and h(x)=4x+5, then f(h(3))=       7     15     119     287     33

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Q: Consider f(x) = 8x +3, g(x) = x³. fog= 2x^3+3 %3D go f = (2x+3)^3 f(x) = Vx² + 5, g(x) = x² + 6.…

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Q: With f(z) = 5z² – 7z – 2, find the following: a) f(2) b) f(1) + f(0) c) f(r+h) – f(r - h)

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Q: If Ax) = x² + 3x – 2 and g(x) = X+2 then g(f(-1)) is equal to 6.

A: The objective of the question is evaluate the value at the given functions of composition.