Given f(g(x)) = cos²x what is the outside function f (x) and the inside function ? g(x) so that the Chain Rule can be applied to differentiate f(g(x)) f (x) = cos x, g(x) = x² All of these will work f(x) = (cos x)², g(x) = x f(x)=x², g(x) = cos x f(x) = (cos x)², g(x) = cos x

Q: If f(x) = x* + 7, g(x) = x - 1 and h(x) = Va, then %3D %3D f(g(h(x)))= | Preview

A: Solve the following

Q: 5. Use the chain rule to compute the derivatives. a) f(x) = sin²x = (sin x)² b) f(x) = sin(x²) c)…

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Consider the function P(x) = (x – 3)²(x – 9) - The y-intercept is the point The x-intercept(s)…

A: Please refer to the image below

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

A: Given,  g(x)=x2+3

Q: What transformation is required to obtain the graph of the function f(x) = 8cosx from the graph of…

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Q: 1 x-2 f(x)=- y g(x)=√x

A: To find the composite function

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A: Given f(x)=x+5 and g(x)=x-5. a. f(g(x)) As g(x)=x-5 we will substitute the value in place of g(x)…

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Q: f(x) = sec x As x = π-/2, f(x) =  As x = π+/2, f(x) =

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Q: If f(x) = x + 3 and g(x) = x – 3, (a) f(g(x)) : (b) g(f(x)) = (c) Thus g(x) is called an function of…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Let f(x): = x + 6 x + 5 (a) Compute the difference quotient of fly)

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A: To explain that if f-1x=gx then g-1x=fx is true or not.

Q: (1) Express j-3(x) in terms of Jo(x) and /+1(x)

A: Given:J-3x, J0x, and J1x. We have to express J-3x in terms of J0x, and J1x.

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Q: (5) f(x) = cos (5 - 2x) (7) f(x): = cos (√x³ + 1) (9) f(x) = cot (x5) (6) f(x) = cos (4x7 + 3) (8)…

A: Note: As per company guidelines we solve only first three subparts when multiple parts question…