y= eSin2x+Sin4x+Sin6x+..........∞ then dydx =

y=esin2x+sin4x+........∞y=esin2xcos2xy=etan2xdydx=2etan2x tanxsec2x

y= eSin2x+Sin4x+Sin6x+..........∞ then dydx =

y=esin2x+sin4x+........∞y=esin2xcos2xy=etan2xdydx=2etan2x tanxsec2x

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y= $e^{S i n^{2} x + S i n^{4} x + S i n^{6} x + .......... \infty}$ then $\frac{d y}{d x}$ =

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$e^{\tan^{2} x}$

$e^{\tan^{2} x} S e c^{2} x$

$2 e^{\tan^{2} x} \tan x S e c^{2} x$

answer is C.

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$\begin{array}{l} y = e^{\sin^{2} x + \sin^{4} x + ........ \infty} \\ y = e^{\frac{\sin^{2} x}{\cos^{2} x}} \\ y = e^{\tan^{2} x} \\ \frac{d y}{d x} = 2 e^{\tan^{2} x} \tan x \sec^{2} x \end{array}$

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y= eSin2x+Sin4x+Sin6x+..........∞ then dydx =

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y= $e^{S i n^{2} x + S i n^{4} x + S i n^{6} x + .......... \infty}$ then $\frac{d y}{d x}$ =