Question

obtain derivatives of the following functions: x/sinx​

Answer 1

Solution

$\frac{d}{dx} ( \frac{x}{sin \: x} ) \\ = \frac{sin \: x \: \frac{d}{dx} (x) - x \: \frac{d}{dx}(sin \: x) }{sin {}^{2} \: x} \\ = \frac{sin \: x \: - x \: cos \: x}{sin {}^{2} \: x \: } \\ = \frac{1}{sin \: x} - \frac{x \: cos \: x}{sin {}^{2} \: x }$

hope this helps you....xd