Find the derivative of the following function
$f (x) = sin (2 x^{2} + 4^{x} + 3)$

- cos (2 x^{2} + 4^{x} + 3) (4 x + 4^{x} ln 4)

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cos (2 x^{2} + 4^{x} + 3) (4 x + 4^{x} ln 4)

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cos (2 x^{2} + 4^{x} + 3) (4 x + 4^{x})

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- cos (2 x^{2} + 4^{x} + 3) (4 x + 4^{x})

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Solution

The correct option is B $cos (2 x^{2} + 4^{x} + 3) (4 x + 4^{x} ln 4)$
$f (x) = sin (2 x^{2} + 4^{x} + 3)$
$f' (x) = \frac{d (sin (2 x^{2} + 4^{x} + 3))}{dx} \times \frac{d (2 x^{2} + 4^{x} + 3)}{dx}$
$f' (x) = cos (2 x^{2} + 4^{x} + 3) \times (4 x + 4^{x} ln (4))$

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