Question

Differentiate the functions with respect to x.
sec(tan(√x))

Answer 1

Answer:

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Answer 2

Answer:

$y = sec(tan \sqrt{x} ) \\ \\ \frac{dy}{dx} = sec(tan \sqrt{x} )tan(tan \sqrt{x} ) \frac{d}{dx} tan \sqrt{x} \\ \\ \frac{dy}{dx} = sec(tan \sqrt{x} )tan(tan \sqrt{x} ) {sec}^{2} \sqrt{x} \frac{d}{dx} \sqrt{x} \\ \\ \frac{dy}{dx} = sec(tan \sqrt{x} )tan(tan \sqrt{x} ) {sec}^{2} \sqrt{x} \frac{1}{2 \sqrt{x} }$