Question

y=root x derivative of functions y=f(x)​

Answer 1

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$\clubsuit \boxed { \bf \purple{y = \sqrt{x} \: is \: a \: derivative \: of \: function \: y = f(x)}}$

$\bf\red{Answer-}$

$\implies \bf{y = \sqrt{x} \: \: \: \: \: ...substitute \: y = f(x)}$

$\implies \bf{f(x) = \sqrt{x} }$

$\: \to \boxed{ \sf{ \ddagger \: differentiating \: both \: side \ddagger}}$

$\to\bf{By \: chain \: Rule }$

$\to\bf{f(x)^,=\dfrac{1x^(\dfrac{-1}{2})}{2}}$

$\to\bf{f(x)^,=\dfrac{1}{2\sqrt x}}$

$\: \longrightarrow \boxed{ \bf \red{ \: answer \: will \: be \: \frac{1}{2 \sqrt{x} } }}$