Let F(#) f(/(=)) and G(r) =(F(2))2 and suppose that f(5) = 6, f(6) = 3, f'(6) = 7, f'(5) = 15 Find F'(5) and G (5). F5)%= G'6) =

Q: If F(x) = f(g(x)), where f(5) = 7, f '(5) = 2, f '(2) = 3, g(2) = 5, and g'(2) = 3, find F '(2). F…

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Q: AF f(1) = 6 glD=5 h(1) = 3 f'(5)=-7 g'(5) = -11 (5) = 15 f" (-11) -2 - g" (-11) = 3 f(1) = 4 g(1) =…

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Q: If f(5) = 1, f'(5) = 6, 9(5) = –3 and g' (5) = 2 determine: а) (f x 9) (5) b) (72)'(5).

A: Recall: Product Rule: fg'(x)=f'(x)g(x)+f(x)g'(x) Quotient rule: fg'(x)=g(x)f'(x)-f(x)g'(x)[g(x)]2

Q: 2. a) Iff(6) = 3,f'(6) = 6, g(6) = 1, and g'(6) = 4, determine () (6).

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Q: If f(x) find f'(3) =

A: Given that: f(x)=4x2

Q: 6. If f(2) = 3,f'(2) = 5, g(2) = –1, and g'(2) = –4, find (f g)'(2).

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Q: If f'(x) = 3x + 2x and f(2) = 3, then f(1) = %3D (А) —10 (B) -7 (C) 10 - (D) 13

A: We have given f'(x) and f(2) =3 .  We have to find the value of f(1)

Q: point) If ƒ(5) = -3, g(5) = -4, f'(5) = -2, and g'(5) = -2, find the values of the following: %3D (f…

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Q: If 11 + 2f(x) + æ²(f(x))³ = 0 and f(-3) = –1, find f'(-3). f'(-3) =

A: We have to find f'-3 where it is given that: 11+2 fx+x2fx3=0 and f-3=-1. We know the formula of…