Let F(x) = f(x³) and G(x) = (ƒ(x))⁹. You also know that a8 = 15, f(a) = 3, f'(a) = 10, ƒ'(aº) = 12 Then F'(a) = and G'(a) =

Q: Given f''(x) = 3x + 3 and f'(-3) Find f'(x)= and find f(2) 1 and f(-3) = 5.

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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: Given that f(x)=35x, determine f'"(x)

A: Apply the expotential function rule for an arbitrary base. [a^x]'=ln(a).a^x.(x)'

Q: Let F(x) = f(x¹) and G(x) = (ƒ(x))ª . You also know that a³ = 14, ƒ(a) = 3, ƒ'(a) = 12, ƒ' (aª) =…

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Q: If F(x) = f(g(x)), where f(-3) = 5, f'(-3) = 2, f'(1) = 3, g(1) = -3, and g'(1) = 5, find F'(1).…

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Q: Suppose g(x) = x²f(x) and it is known that f(2) = 5 and f'(2) = -2. Evaluate g'(2). g'(2) =

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Q: If g' (x) = f(x) with g(-5) = a, g(-–3) = b, g(-2) = c, and 1 f 3 g(6) = d. , express the value of…

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Q: Given f''(x) = 7x + 4 and f'(0) -2 and f(0) - 3.

A: Given that f"(x)=7x+4 and f'(0)=-2 and f(0)=-3Our Aim is to find f'(x) and f(4)=?

Q: Let F(x) = f(x³) and G(x) = (f(x))5 . You also know that aª = 14, f(a) = 3, f'(a) = 13, f'(a³) = 14.…

A: Since we have the expression of F(x) and G(x) in terms of f(x), to find the derivative of both F(x)…

Q: Let F(x) = f(f(æ)) and G(x) = (F(x))² . You also know that f(3) = 6, f(6) = 2, f'(6) = 5, f'(3) = 15…

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Q: Let F(x) = f(x) and G(x) = (f(x))*. You also know that a³ = 12, ƒ(a) = 3, ƒ'(a) = 5, ƒ' (aº) = 8…

A: If we consider a function y which is a function of x only. Then, the derivative of y with respect to…

Q: If ƒ(x) = ƒ'(x) = f'(5) = 7x+2 6x + 2 "" find:

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Q: Given f'"(x) and f'(0) = 2 and f(0) 2x – 4 - 2. Find f'(x) = and find f(4) : =

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Q: Find h(x) if h'(x)= h(x): 5x (6-x²)² X and h(1) = -6.

A: NOTE: Refresh your page if you can't see any equations. . here we have take integration on both…