Use this table about differentiable functions f and g to answer the following. x f(x) | f'(x) g(x) g'(x) -2 3 1 -5 -1 -9 7 4 0 5 9 9 1 3 -3 2 2 -5 3 8 25. If h(x) = e f(x), first find a formula for h'(x) and then find h'(0) 8 1 -3 6 ? 26. If j(x)=-4f(x)g(x), first find a formula for j'(x) and then find j'(1) 27. If k(x) = f(x), first find a formula for k'(x) and then find k'(−2) g(x)

Q: (2) Find the derivative of each of the following functions (a) f(x) = (1+x*)²/3 (b) g(x) = V1+…

A: a) We use the power rule and chain rule

Q: Below is the graph of f"(x). For what values of x is f(x) concave up? 1S (x) + + -8 -7 -6 -4 -3 -2…

A: Topic:- Functions

Q: 1 Suppose that f is a function given as f(x) We will compute the derivative of 2x +3 follows. First,…

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Q: Below is the graph of y = f'(x), where f'(x) is the derivative of f(x). + -3 -2 -1 1 2 3

A: Explanation:

Q: 23 The derivative of the function f(x) = xª + is 23 4x3 (x²) 23 4x3 + (w³) 23 4x3 + (x) 1 4x 23 O 4x…

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Q: 5. Consider the function f(x). f(x) = (2x² + 3x + 1 |x| sin(x - 1) + 1 if x < -1 if -1 < x < 1 if 1…

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Q: Consider the following functions. g(x) = x3 – x h(x) = (x3 – x)4 f(x) = 9(x3 – x)4 Find the…

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Q: Complete the table by finding the function g(x) and the derivative of g(x) and h(x), if possible.…

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Q: f the first derivative of a function is f'(x) = x(x − 3)(x + 2)², a. create a sign chart for the…

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Q: nd an example of a function f(x) such that the third derivative f"(x) is equal to 0 for all x, and…

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Q: 1. Given the function f(x) = x³ - 3x² - 9x + 7, make a sign diagram for the first derivative and…

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Q: f(x) = x' +x² +1 and g(x) = 4 – x²

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Q: Explain in your own words, how do you find the followings using first and second derivatives of…

A: To Explain: How can we find followings using first and second derivatives of function f(x):(a)…

Q: Step 2: Step 3: Sten 4:

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