Suppose f is a differentiable function of x and y, and the following applies. p(t) = f(g(t), h(t)) g(3) = 6, g'(3) = -5 h(3) = 7, h'(3) = 8 f (6, 7) = 6, f (6, 7) = 5 Find p'(3). p'(3) =

Q: If f is a differentiable function, find the derivative y=f(và) ƒ (√x) + √ √ f(x) 1 ○ y = ƒ (√√x) + 2…

A: To find the derivative of y=f(x​)+f(x)​​, we need to apply the chain rule and the derivative of the…

Q: Let f and g be functions satisfying that f(1) = 3, g(1) = 4, f'(1) = 1, g'(1) = 5. For the following…

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Q: Suppose f is a differentiable function such that f(-2) = 3 and f(5) = 17. Then there must be a point…

A: Consider the conditions for the mean value theorem.

Q: Given f is a differentiable function such that f(4) = 2 and f'(4) = -3. If g(x) = 2x3 * f(x), find…

A: Given f is differentiable function such that f(4)=2,f'(4)=-3 and if g(x)=2x3f(x). To find g'(4).…

Q: Find f'(w) for the function. 8w7 - 9w5 f(w) = 7w5 f'(w) = %3D

A: differentiate f(w) with respect to w

Q: Suppose f and g are functions that are differentiable at x=5 and that f(5)=8 ,f'(5)=-3 ,g(5)=-1 ,…

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Q: Let h(x)=√xf(x). If we know that f'(7) = 6ƒ(7), find a value for f(7) such that h'(7) = 4 (a) f(7):…

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Q: Suppose that f(x) is a function with f(140) = 25 and f' (140) = 2. Estimate f(142). f (142) =

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Q: and g(x) are differentiable functions, suppose that f(-2) = 1; f(1) = 5; f'(-2) = 3; f'(1) = 3;…

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Q: Let f be a function that is defined and differentiable on all of R. Here is some information about /…

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Q: Let f and g be two differentiable functions. Suppose we know that f(2)=5, f'(2)=-2, f(1)=–3,…

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Q: Given z = f(x, y), x= x(u, v), y = y(u, v), with x(2, 6) = 4 and y(2, 6) = 5, calculate zu(2,6) in…

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Q: Suppose that f(x) is a function with f(130) = 39 and f'(130) = 2. Estimate f(132).

A: f(x) is a function with f(130)=39 and f′(130)=2

Q: Let f and g be functions satisfying that f(1) = 3, g(1) = 4, ƒ'(1) = 1, g'(1) = 5. For the following…

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Q: 2. Let f(x) be a function with domain (00, -00) and f'(x) = 2x3+3x²-36r. Find the intervals where…

A: Step 1:Step 2: Step 3: Step 4:

Q: F:(- 2, 2] → R, F(x) = [, (t- 3)(f² + 1) dt

A: Given, Fx = ∫-2x2t - 3t2 + 1 dtFx = ∫-2x2t3 - 3t2 + t - 3 dtFx = t44 - 3t33 + t22 - 3t-2x2Fx = x44 -…