If the angle between the curves $y = 2^x$ and $y=3^x$ is $\alpha,$ then the value of $\tan \alpha$ is equal to :

Differentiate the following w.r$d/dx$

$\sin x\ log x$.

Differentiate $\log(1+x^{2})$ with respect $\tan^{-1}x$.

$y = \frac{1 - 2 x}{x^{3} + 5}$ হলে, x=1 এর জন্য dy/dx এর মান কত?