Explain in one or two sentences why the value of is interpreted as the slope of the…

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

Problem

Explain in one or two sentences why the value of lim⁡h→0f(a+h)−f(a)h\displaystyle \lim_{h\to 0}\frac{f(a+h)-f(a)}{h} is interpreted as the slope of the tangent to the curve y=f(x)y=f(x) at x=ax=a.

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