Which of the following limit expressions 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 limit expressions gives the derivative of a function f(x)f(x) at the point xx? (a) lim⁡h→0f(x+h)+f(x)h\displaystyle \lim_{h\to0}\frac{f(x+h)+f(x)}{h} (b) lim⁡h→0f(x+h)−f(x)h2\displaystyle \lim_{h\to0}\frac{f(x+h)-f(x)}{h^2} (c) lim⁡h→0f(x+h)−f(x)h\displaystyle \lim_{h\to0}\frac{f(x+h)-f(x)}{h} (d) lim⁡h→0f(x)−f(x+h)h\displaystyle \lim_{h\to0}\frac{f(x)-f(x+h)}{h}

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