In this example we will show that the function Sa? sin () f(x): if x + 0, if x = 0. is differentiable everywhere. (a) Show that the function is differentiable at any x 0 and compute f'(x). (b) Use the limit definition of the derivative to compute f'(0). (Note that this is the only way to compute f'(0)!)

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A: A function fx is said to be decreasing on an interval a, b if fx≤fy whenever x≤y and fx is said to…

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A:

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A: f(X) = ln(3x)/3

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A:

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A: The given function is

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A:

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A: NOTE: Refresh your page if you can't see any equations. . take derivative

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A: given                  f(x)=4x+7

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A:

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A: Given:y'-y=xy2dydx=y'y'=xy2+ydydx=xy2+ydy=yxy+1 dxdivide by 'y' on both sidesdyy=yxy+1y dxdyy=xy+1…

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A:

Q: Let be a function whose derivative graph is shown below. Use the graph to answer the following…

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Q: y 4 y = f'(x) 4. 2. 2.

A: Here domain of the function is not clear that causing confusion.