Question

What is the derivative of a function f(x) at a point c given by?

Answer 1

Answer on question #51179, Math/Real analys

The derivative of the function $f$ at the point $c$ in its domain is given by

$$f'(c) = \lim_{x \to c} \frac{f(x) - f(c)}{x - c}$$

We say that function $f$ is differentiable at the point $c$ in its domain if $f'(c)$ exists.

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