Question
Define derivative?

Answer

Let $f: A\rightarrow R$ and $a \in A,$ where $A$ is an open interval of $R.$ if $\lim _{h \rightarrow 0} \frac{f(a+h)-f(a)}{h}$ exists, then limit of a function $4$ is called
derivative at $x = (A)$ it is denoted by $f’ (a).$ Thus, $ f’(a) =\lim _{h \rightarrow 0} \frac{f(a+h)-f(a)}{h}$ .

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