List of top Mathematics Questions on Differentiation asked in LPUNEST

If \(A = \begin{bmatrix} a+4 & 3b\\ 8 & -6 \end{bmatrix}\) and \(B = \begin{bmatrix} 2a+2 & b^2+2\\ 8 & b^2-5b \end{bmatrix}\) such that \(A = B\), then the values of \(a\) and \(b\) is:
If \[ y=(1-x)(1+x^2)(1+x^4)\cdots(1+x^{2^n}), \] then \(\dfrac{dy}{dx}\) at \(x=0\) is equal to
If \[ A(\alpha)= \begin{pmatrix} \cos\alpha & \sin\alpha\\ -\sin\alpha & \cos\alpha \end{pmatrix} \] then $A(\alpha)\,A(\beta)=$