Question

Sin² x X tan² x
find the derivative​

Answer 1

Answer:

$\sf{\sin \left(2x\right)\tan ^2\left(x\right)+2\tan \left(x\right)\sec ^2\left(x\right)\sin ^2\left(x\right)}$

Step-by-step explanation:

Derivate of $\sf{\sin ^2\left(x\right)\tan ^2\left(x\right)}$

$\to\sf{\dfrac{d}{dx}\left(\sin ^2\left(x\right)\tan ^2\left(x\right)\right)}$

$\to\sf{\displaystyle\frac{d}{dx}\left(\sin ^2\left(x\right)\right)\tan ^2\left(x\right)+\frac{d}{dx}\left(\tan ^2\left(x\right)\right)\sin ^2\left(x\right)}$

$\to\sf{\sin \left(2x\right)\tan ^2\left(x\right)+2\tan \left(x\right)\sec ^2\left(x\right)\sin ^2\left(x\right)}$