A function is continuous at

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

A function ff is continuous at x=−1x=-1. Near x=−1x=-1, the slope of the graph just to the left of −1-1 is approximately 33, while the slope just to the right is approximately −2-2. Determine whether f′(−1)f'(-1) exists and briefly explain your reasoning.

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