Gujarat BoardEnglish MediumSTD 12 CommerceStatisticsDIFFERENTIATION1 Mark
Question
Define differentiation.
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Answer
Let $f : A \rightarrow R$ and $a ∈ A,$ where $A$ is and open interval of $R.$
If $\lim _{h \rightarrow 0} \frac{f(a+h)-f(a)}{h}$ exists, then this limit of a function $f$ is called derivative at $x = a.$
It is denoted by $f'(a).$
The process of obtaining derivative of function is called differentiation.
Thus, $f'(a) = \frac{f(a+h)-f(a)}{h}$
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