Derivatives of log and exponential function

derivative of log tan x

derivative of log cos x

derivative of log(sin x^2)

derivative of log (x+1/x)

derivative of log(x^2+3)

Prove that the derivative of an even function is an odd function and that of an odd function is an even function.

The derivative of an even function is always an odd function.

The following derivative of primordial germ cell function is uncertain

derivative of sqrt("log"x)

derivative of log {log (cos x}