Mathematics - Continuity - Differentiability Question with Solution | TestHub

Let $\mathrm{f}(\mathrm{x})=\{\begin{array}{clc}|\mathrm{x}{|}^{\mathrm{p}}\sin \frac{1}{\mathrm{x}}+|\tan \mathrm{x}{|}^{\mathrm{q}}& ,x\ne 00& ,x=0\end{array}$ be differentiable at $\mathrm{x}=0$, then find the least possible value of $[p+q]$, (where[.] represents greatest integer function)