`y = sin(tan(2x))` Find the derivative of the function.

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Chapter 2, 2.4 - Problem 63 - Calculus of a Single Variable (10th Edition, Ron Larson).
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hkj1385 | (Level 1) Assistant Educator

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`y = sin(tan(2x))`

`dy/dx = [(dsin(tan(2x)))/dx]*[(dtan(2x))/dx]*[(d2x)/dx]`

`or, dy/dx = y' = [cos(tan(2x))]*[sec^2(2x)]*2`

`or, dy/dx = y' = 2sec^2(2x)*cos(tan(2x))`

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