Given the functions f(x) graphed below. a) State the values at which f is NOT differentiable (if there are any) and explain why not. b) Sketch the graph of the derivative f'(x) in a different color on the same axes.
Given the functions f(x) graphed below. a) State the values at which f is NOT differentiable (if there are any) and explain why not. b) Sketch the graph of the derivative f'(x) in a different color on the same axes.
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Transcribed Image Text:Given the functions f(x) graphed below.
a) State the values at which f is NOT differentiable (if there are any) and explain why not.
b) Sketch the graph of the derivative f'(x) in a different color on the same axes.
1. Graph of y = f(x):
y = f(x)
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Since the graph is smooth and not to break point therefore it is differentiable at all points in its domain.
Since the graph is not smooth and there are corner at x=-2,0,2
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