Question

How do you differentiate y=cos2(x2)?​

Answer 1

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Answer 2

$\bf \huge \green{answer : }$

$\tt \: y = {cos}^{2} {(x)}^{2} \\ \\ \tt \: differentiating \: both \: \: sides \: \: \: by \: \: respect \: \: to \: \: \red{x}$

$\tt \: y' = \frac{d}{dx} \: {cos}^{2} {(x)}^{2} \\ \\ \tt \: y' = 2cos {(x)}^{2} \frac{d}{dx} {(x)}^{2} \\ \\ \tt \: y' = 2 \: cos \: {(x)}^{2} ( { - sin \: x)}^{2} \frac{d}{dx} {(x)}^{2} \\ \\ \tt \: y' = 2 \: cos \: {(x)}^{2} ( - {sin \: x}^{2} )(2x) \\ \\ \tt \: y' = - 4x( {cos \: x}^{2} ) {(sin \: x)}^{2}$