If $y = s i n (x) + l n (x^{2}) + e^{2 x}$ , then $d y / d x$ is

c o s x + \frac{2}{x} + e^{2 x}

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c o s x + \frac{2}{x} + 2 e^{2 x}

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- c o s x + \frac{2}{x^{2}} + e^{2 x}

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- c o s x - \frac{2}{x^{2}} + 2 e^{2 x}

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Solution

The correct option is B $c o s x + \frac{2}{x} + 2 e^{2 x}$
$y = s i n x + l n x^{2} + e^{2 x}$
$d y / d x = c o s x + 2 x / x^{2} + 2 e^{2 x}$
$= c o s x + \frac{2}{x} + 2 e^{2 x}$

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