Take the function (e 1>0 f(x) = %3D Compute its derivative at all values of x € R. Is f'(r) itself differentiable? This problem does not need to be done by definition; you may use the familiar limit/derivative rules.

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: r(s) = V2x² + 3x – 1 %3D

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Q: Given the graph of a function f(x), sketch the graph of the derivative on the axes below: f(x)

A: Given: The graph of the function f(x) is given. To find: The graph of the derivative function:…

Q: In another universe, there are some extra functions that their mathematicians use: stars, sun and…

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Q: Find the derivative of f (y) = 8 tan (y) V √y 8 8 √Y y4

A: The given function is: fy=8tany-y8-8y4y As we know that; The Sum/Difference rule: f±g'=f'±g' The…

Q: Match each function to the rule you would need to use to compute its derivative. Answers may be used…

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Q: f (x) = x2³ (1– x) 2/3

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Q: 34. Draw the graph of the derivative. The graph of f (x) is provided.

A: Given

Q: Let f(x) = 1- 5x2. Use the limit definition of the derivative to show tl f'(x) = –10x

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Q: Calculate the derivative of the following function. y=f(g(4x)), where f and g are differentiable for…

A: Using chain rule of differentiation

Q: Please see the attached image and answer the

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Q: Given the graph of f(x) below, find the graph of the derivative of f(x). 1-6-5-4-3-2-1 1.7

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