The value of for a certain function is

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

Problem

The value of lim⁡h→0f(2+h)−f(2)h\displaystyle \lim_{h\to0}\frac{f(2+h)-f(2)}{h} for a certain function ff is −4-4. What does this tell you about the graph of y=f(x)y=f(x) at the point (2, f(2))(2,\,f(2))? (a) The normal at the point has slope −4-4. (b) The tangent at the point has slope −4-4. (c) The yy-coordinate of the point is −4-4. (d) The tangent at the point has slope 44.

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