Question

Answer this questions if anybody can do it very fast quick please answer in detail

Answer 1

your answer...........

$= \frac{d log_{10}(x) }{ d\tan( { }^{ - 1}x ) } \\ \\ = \frac{dlog_{10}(x) }{dx} \times \frac{dx }{d \tan( {}^{ - 1} x) } \\ \\ = \frac{d log_{10}(x) }{dx} \times \frac{1}{ \frac{d \tan( {}^{ - 1} x) }{dx} } \\ \\ = \frac{ log(10) }{x} \times \frac{1}{ \frac{1}{1 + x {}^{2} } } \\ \\ = \frac{ log(10) }{x} \times (1 + x {}^{2}) \\ \\ \: \boxed{ log(10) \times (x + \frac{1}{x} ) } \: \: \: \bold \green{ans.....}$

$\: \: \bold \red{till \: then \: be \: happy..........}$