Let . Determine by evaluating the limit _ h 0 p(4+h)-p(4) h…

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

Problem

Let p(x)=x2+3xp(x)=x^{2}+3x. Determine p′(4)p'(4) by evaluating the limit lim⁡h→0p(4+h)−p(4)h.\lim_{h\to 0}\frac{p(4+h)-p(4)}{h}.

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