14. Are the functions continuous on the given interval? 7 (a) f(x) = 3 x € [1,7] and (b) g(x)=2x²-₁, x € [−5, 4]. 2 x- 5 x+1'

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Q: O Question 9 Find f'(a) if f(x) = arctan(In z). 1 z (1+x²) 1 a sec²(In 2) 1 1+ (In 2)² 1+ 1 ()* 1…

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A: To find the properties of f'(x) and f"(x) from the graph of the function.

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Q: 1. Find the average rate of change of f(x) = x² -2 on the interval [-4, 8]. Then find the x-value…

A: To find out the average rate of change of function on the interval.

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Q: Let f(x) = 2x³-7x² + 4x. a. On what interval(s) is f'(x) > 0? b. On what interval(s) is f(x)…

A: Given problem:- Let f(x) = 2x3 - 7x2 + 4x .   a. On what interval(s) is f'(x) > 0?   b. On what…

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Q: Do not use technology. The figure below shows the graph of f', the derivative of f. The function f…

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Q: 17. Sketch the graph of f(x) = { 2x + 2, x ≤ −1 [x³−x, x>−1 and find the derivative. Determine…

A: 17. Sketch the graph of  and find the derivative.Determine whether  satisfies the conditions of the…

Q: point(s) where f'(x) is negative, positive A B C DE

A: From the graph, we see,              f(x) is decreasing when x < B and when 0 < x < E.…

Q: 2. Find the intervals of increase or decrease. a) f(x)=x lnx b) f(x) = xe* c) f(x)= xe¯* d) f(x) = x…

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