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Home  >>  CBSE XI  >>  Math  >>  Limits and Derivatives
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Find the derivative of $x$ at $ x = 1$.

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Let $ f(x)=x$. Accordingly,
$f'(1) = \lim\limits_{h \to 0}\large\frac{f(1+h)-f(1)}{h}$
$= \lim\limits_{h \to 0}\large\frac{(1+h)-(1)}{h}$
$= \lim\limits_{h \to 0}\large\frac{h}{h}$
$= \lim\limits_{h \to 0}(1)$
$ = 1$
Thus, the derivative of $x$ at $x =1$ is $1$
answered Apr 7, 2014 by thanvigandhi_1
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