List of top Mathematics Questions on Derivatives of Functions in Parametric Forms asked in MET

If \( y = |\sin x|^{|x|} \), then the value of \( \frac{dy}{dx} \) at \( x = -\frac{\pi}{6} \) is

If \( x\sin(a+y) + \sin a \cos(a+y)=0 \), then \( \frac{dy}{dx} \) is equal to