f² (x) and f(x)>0, g(x)>0 for all real x. g(x²)' 5. Let h(x) = g²(1) If f'(1)=9(1) and g'(1)= then h'(1) =? f(1) ' (a) -3f(1) (b) -3f(1)g(1) (c) -4f(1) (d) g(1) – f(1) (e)

Q: 3) Show that (f o g)(x) = (go f)(x) = x. f (x) = 4 – 3x g(x) = (4 – x)

A:

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

A:

Q: 1 Po(x) = v2 3 P1(1) = : %3D "V 2 PĄ(2) = (3=² – 1) V P3(x) = ; (5x³ – 3r) /5 Write down the…

A: We will find out the required values.

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A: Given:gx=x4-2x3+3x3Formula:ddxuv=vu' - uv'v2

Q: K Let f(x) - f''(x) = 3 + 3 x6

A:

Q: f(g(h(x)))=

A: Givenf(x)=x4+5, g(x)=x-4 and h(x)=x

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A: Given: - The function is, f(x)=ln(5+4x) To find: - The derivative of the given function.

Q: X x + 2 A1. The functions f and g are defined by f(x) (a) Calculate f'(x) and g'(x). d (b) Calculate…

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Q: x2 - 4x - 12 x +2 Find f'(x), f"(x), and f (x) for the function f(x) =

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Q: 3. Let h(x) = 2x - 3 and g(x) = 5 - x   a) Find h( g(2) ) b) Find h( h(x) )

A: 3. Let h(x) = 2x - 3 and g(x) = 5 - x (a) Find h( g(2) ) (b) Find h( h(x) )

Q: Let g(x) = VT + 3.

A: Given,  g(x)=x2+3

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A:

Q: fand g are the functions whose graphs are shown, y = f(x) is in black and y=g(x) in red. Define H(x)…

A: