Differentiate the following w.r.t. $x$ .
$tan x^{2}$ .

s e c^{2} (x^{2})

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s e c^{2} (x^{2}) 2 x

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s e c^{2} (x^{3}) 2 x

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t a n^{2} (x^{2}) 2 x

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Solution

The correct option is B $s e c^{2} (x^{2}) 2 x$
$\frac{d}{d x} tan (x^{2})$
$= {sec}^{2} (x^{2}) . \frac{d}{d x} (x^{2})$
$= {sec}^{2} (x^{2}) .2 x$

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