Which of the following limits gives the derivative of a function at the point ?

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Which of the following limits gives the derivative of a function f(x)f(x) at the point x=ax=a? (a) lim⁡h→0f(a+h)+f(a)h\displaystyle \lim_{h\to0}\frac{f(a+h)+f(a)}{h} (b) lim⁡h→0f(a+h)−f(a)h\displaystyle \lim_{h\to0}\frac{f(a+h)-f(a)}{h} (c) lim⁡h→0f(a+h)−f(a)2h\displaystyle \lim_{h\to0}\frac{f(a+h)-f(a)}{2h} (d) lim⁡h→0f(a)−f(a+h)h\displaystyle \lim_{h\to0}\frac{f(a)-f(a+h)}{h}

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