Find the derivative of f(x) = x^2. - Vidyadip

Question

Find the derivative of $f(x) = x^2.$

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Answer

$f ′(x) = \lim _{h \rightarrow 0} \frac{f(x+h)-f(x)}{h}$
$=\lim _{h \rightarrow 0} \frac{(x+h)^{2}-(x)^{2}}{h}=\lim _{h \rightarrow 0}(h+2 x)=2 x$

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