Question

derrivative of tan root x

Answer 1

Answer:

your solution is as follows

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Step-by-step explanation:

$to \: find : \\ \frac{d}{dx} (tan \sqrt{x} \: ) \\ \\ we \: know \: that \\ according \: to \: chain \: rule \\ \frac{d}{dx} (tan \sqrt{x} \: ) = \frac{d}{dx} (tan \: x) \times \frac{d}{dx} ( \sqrt{x} ) \\ \\ = sec {}^{2} \sqrt{x} . \frac{1}{2 \sqrt{x} } \\ \\ = \frac{sec {}^{2} \sqrt{x} }{2 \sqrt{x} }$