List of top Mathematics Questions on Differentiability asked in COMEDK UGET

Let \( f(x) = a - (x-3)^{8/9} \), then the maxima of \( f(x) \) is:
If the tangent to the curve \( xy + ax + by = 0 \) at \( (1, 1) \) is inclined at an angle \( \tan^{-1}{2} \) with the X-axis, then
The derivative of $\sin x^{\circ} \, \, \cos x$ with respect to $x$ is