dH f(5) = 8, f' (5) = 4 f(26) = 8, f'(26) = 6, g(5) = 1, g'(5) = -9, and H(x) = f(r² + g(x)). Find dr -5 find H(S)

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A:

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A:

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A: Using product rule and chain rule of derivative,

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Q: If F(x) = f(g(x)), where f(-2) = 8, f'(-2) = 4, f'(5) = 3, g(5) = -2, and g'(5) = 6, find F'(5).

A: Here given

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Q: Identify x-values where f"(x) > 0. (Enter your answer using interval notation.) Identify x-values…

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A:

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: 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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A:

Q: Suppose that for two functions f & g, we know the following information:f(8) = 16f'(8) = 6f(3) =…

A: The given composition function is

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Q: f(x)= if'(-3)

A: The differentiation is a process of finding the rate of change of one variable with respect to…

Q: Find f. f ''(x) = 4 + 6x + 24x2,    f(0) = 5,    f (1) = 14

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A: Consider the given function: fx=x3+2x+74 Differentiate the function using chain rule which is given…

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A:

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A: