Consider the functions: h(x) = f(g(x)) and Use the graphs of f(x) and g(x) to find the following • h'(1) n'(x) = f'(g(x))• g'(x) • h'(8) 10 8 2 H -21 8 2 4 6 8 10

Q: A table of values for f, g, f', and g'is given. f(x) g(x) 3 2 x 1 2 3 ليا 1 7 8 2 (a) If h(x) =…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: A table of values for f, g, f, and g' is given. F(x) g(x) g(x) X -8 -7 -6 -8 -2 -7 -7 (a) If h(x) =…

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Q: Suppose k(x) = f(g(h(x))). Given the table of values below, determine (-1). f(x) g(x) | h(x) | f'(x)…

A: We have to find derivative

Q: Consider the function. f(x) = x R(x) + Q(x) Identify the derivative f'(x). f'(x) = xR'(x) + R(x) +…

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Q: graph F(X), Determine f'(x) then graph T] f(x) = 1 + x + x

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Q: A table of values for f, g, f', and g' is given. g(x) 2 8 2 Xx 1 2 3 f(x) 3 1 7 (a) If h(x) =…

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Q: Determine h(1) and h'(1). h(x) = [f (x)]2

A: The function h(x) is a composite function since its input is another function f(x). Now h(x)=[f(x)]2…

Q: Given f(x) and g(x) in the following graph, y. 5. f(x) g(x) 2 1 1 2 3 4 5* 1 If h(x)=f(x)/g(x), find…

A: Given graph of f(x) and g(x)

Q: Obtain the general solution to the equation. 5. dx + (x – v²)dv = 0

A: Given that: dx+(x-y2)dy=0

Q: Determine h(1) and h'(1). h(x) = f (x) / g (x)

A: Value of the function is , the value of combined function, when variable is replaced with that…

Q: g(x)=2x-1

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Q: Find f'(x) and simplify. f(x)= Which of the following shows the correct application of the quotient…

A: We can solve as follows Do not confuse in round bracket and close bracket. They are same in this…

Q: For the function f(x) = (3x + 5)4, find f''(x), f''(0), f''(2), and f''(-3).

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Q: fand g are the functions whose graphs are shown, y = f(x) is in black and y=g(x) in red. Define H(x)…

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Q: Let f(x) be a polynomial and g(x) = f '(x) be its derivative. If the degree of (f(x) + f(-x)) is 10,…

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Q: Let f(x) = 5x² cos(2x). f'(x) = -10x²(2x) + 10x cos(2x) f'(5) = 0 f"(x) = -10x² sin (2x) + 10x…

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Q: Let f'(x)= = (x-1) (x-2)(x+1) and g'(x) = (x+2)(x-3) (x+3)

A: We have to find the interval in which f(x) and g(x) are decreasing.

Q: Suppose k(2) = f(g(h(x)). Given the table of values below, determine k(-2). f(x) g(x) | h(x) | f'(x)…

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Q: Calculus Question

A: NOTE: Refresh your page if you can't see any equations. . take log on both sides