Question

Differentiate the following $\frac{e^x}{\sin x}$.

Answer 1

The above function is of the form $\frac{u}{v}$

The differential coefficient is $\frac{v{u}^{\prime }-u{v}^{\prime }}{v^2}$

Hence,

the differential coefficient =$\frac{\left(sinx\right)e^x-e^{x}cosx}{{sin}^{2}x}$

or

Differential coefficient=$\frac{e^x\left(\right(sinx)-cosx)}{{sin}^{2}x}$