The derivative of a function at a point is defined as

MATHEMATICS · Single correct · CBSE · Mathematics · Limits and Derivatives · Limits and Derivatives

Problem

The derivative of a function ff at a point xx is defined as (a) lim⁡h→0f(x+h)−f(x−h)h\displaystyle \lim_{h\to 0}\dfrac{f(x+h)-f(x-h)}{h} (b) lim⁡h→0f(x+h)−f(x)h\displaystyle \lim_{h\to 0}\dfrac{f(x+h)-f(x)}{h} (c) lim⁡x→0f(x+h)−f(x)h\displaystyle \lim_{x\to 0}\dfrac{f(x+h)-f(x)}{h} (d) lim⁡h→0f(x+h)−f(x)x\displaystyle \lim_{h\to 0}\dfrac{f(x+h)-f(x)}{x}

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