Nine derivatives: chain, product, quotient and inverse functions

Find the derivatives of the following

(a) $\dfrac{\pi\sqrt{8100+x^2}}x$,

(b) $\sec^3(2x)$,

(c) $\sin\sqrt{x^2+1}$,

(d) $\log_{10}5x$,

(e) $\ln[(x^3+2)(x^2+3)]$,

(f) $x^2e^{x\sin2x}$,

(g) $\left(\dfrac1{\sin^{-1}3x}\right)^4$,

(h) $\sin^{-1}(2\sin x)$,

(i) $\tan^{-1}\left(\dfrac{1+x}{1-x}\right)$.