Differential of $$\log [\log (\log {x^5})]$$ w.r.t. x is

The number of all possible matrices of order 2 $$\times$$ 3 with each entry 1 or 2 is

A function f : R $$\to$$ R is defined as f(x) = x³ + 1. Then the function has

If $$\sin y = x\cos (a + y)$$, then $${{dx} \over {dy}}$$ is