2. Sketch the graph of a function that satisfies all of the given conditions. • f'(2) = f'(-2) = 0 • f'(x) < 0 if |x| < 2 f'(x) > 0 if 2 < |r| < 3 • f'(x) = -1 if a| > 3 • f"(x) < 0 if -2

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Q: 2. Use the Mean Value Theorem to show that f(x) = 2x sinh(x - 1) + 2* – x has a critical number…

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Q: 2. Use the Mean Value Theorem to show that f(x) = 2x sinh(x – 1) + 2" – x has a critical number…

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Q: 2. Shows that the function f(x)- x2-9 is continuous at x = 0, but has removable x-3 discontinuity at…

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Q: On the graph of f(x)=cosx and the interval [−2π,0), for what value of x does f(x) achieve a minimum?

A: We know,  -1≤cos x≤1 for any real value of x.

Q: 1. Use the first derivative test to find the location of all local extrema for 3 f(x) = -x³ +x+ 18x…

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