Use the graph of f and g. Let p(x) = f(x)g(x) and g(x) = = -2 (a) Find p'(5). p'(5) 6 (b) Find q'(1). q'(1) = 4 y 10 8 4 2 x x 2 4 6 8 g(x) bo g 10 X

Q: "(x). "'(x). "(-9) and f"(7). = f(x) = x³ 3x² +7 mine whether the function f(x) is concave up or…

A: Topic:- derivatives and application of derivatives     Definition:- When the second derivative is…

Q: Use the graph of f and g. p(x) = f(x)g(x) %3D f(x) q(x) = g(x) %3D y 10 8 f 4 2 -2 2 4 6. 8 10

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Q: (x)= g(h(x)), then f'(4)= ? Use graph g(x) and h(x) to answer.

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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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Q: Consider the function. Find f'(x). f'(x) = Find F"(x). F"(x) = Find f"(-7) and f"(3). F"(-7) f"(3) =…

A: Given query is to find indicated derivative and the point where it's concave up and down.

Q: Use the graph of f and g. p(x) = f(x)g(x) f(x) q(x) = g(x) y 12 10 8 6 2 -2 6 8 10 (a) Find p'(4).…

A: a) Given that p(x)=f(x)g(x)So, p'(x)=f'(x)g(x)+f(x)g'(x) [product rule]We plug…

Q: Let f and g be functions that satisfy f'(2) = -6 and g'(2) = 9. Find h'(2) for each function h given…

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Q: Find f. f"(x)  =x6 - 4x4 +x +1

A: ∫xndx = xn+1n+1+C

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: Consider the function. Find f'(x). f'(x) = Find F"(x). f"(x) = f(x) = x³ - 3x² + 3 Find f"(-2) and…

A: We will use simple differentiation to solve it.

Q: The functions f and g are differentiable and h(x) = f(g(x)). Use the information below to find…

A: We know that If h(x)=f(g(x)) then h'(x)=f'(g(x))g'(x)

Q: (a) Let h(x) = f(x)/g(x). Find h'(1). (b) Let h(x) = g(f(x)). Find h'(-1).

A: Definition used -           Quotient rule of derivative -…

Q: Find the general form of f if f'(x)= -7f(x).

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Q: Find f′(x) for the function: (a) ​f(x)= 3w^9-7w/5w (b) f(x)= 3x-5/x-5

A: (b). According to the question, we have to find f'x for the function fx=3x-5x-5. The derivative of a…

Q: The function g(x) is obtained by shifting the graph of y=x2. (a) If g(3)=36, give a possible formula…

A: If the graph shifts horizontally, then the point (3 , 36) on the graph of g must correspond to a…

Q: Consider the following. و + شہری ۔ شہر = (f(x (a) Find F(x) and f(x). f(x) = F(x) = (b) Graph Rx),…

A: Given:To find:f'(x) and f''(x) and monotone intervals

Q: Find the function ƒ with the following properties. ƒ'(x) = 3x2 - 1; ƒ(0) = 10

A: Given, f'x=3x2-1f0=10

Q: Use the graph of f and g. p(x) = f(x)g(x) f(x) g(x) q(x) 10 2 -2 2 6 10 -2 (a) Find p'(9). p'(9) =…

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Q: Find the point on the curve g(x) = x² – 2 that is closest to the point (3,-2)

A: We can represent all the points on the curveg(x) = x2-2 as (x, x2-2)Now we will use the distance…

Q: Consider the following. f(x)=x²-6x² + 7

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