Differentiate : tan $x^{2}$ with respect to x

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Solution

$y = tan x^{2}$

Differentiation w.r.t. $x$

$\frac{d y}{d x} = {sec}^{2} (x^{2}) \times 2 x$

$= 2 x {sec}^{2} (x^{2})$ .

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