if ` y = tan^(2) (log x^(3))," find " (dy)/(dx).`

Explanation

We have , `y = tan^(2) (log x^(3))`
` :. " " (dy)/(dx) = d/(dx) [tan^(2) (log x^(3))]`
` = 2 tan (log x^(3))*d/(dx) tan (log x^(3))`
` = 2 tan(log x^(3))* sec^(2) (log x^(3)) * d/(dx) (log x^(3))`
` = 2 tan(log x^(3))* sec^(2)(log x^(3))* 1/x^(3) *d/(dx) (x^(3))`
` = 2 tan(log x^(3)) * sec^(2)(log x^(3))* 1/x^(3)* 3 x^(2)`
` = (6 tan(log x^(3))*sec^(2)(log x^(3)))/x`