Differentiate the following functions with respect to `x :` `tan^(-1)((3a^2x-x^3)/(a^3-3a x^2))`

Explanation

y=`tan^(-1)((3a^2x-x^3)/(a^3-3a x^2))`

`x=atantheta`

`theta=tan^(-1)(x/a)`

y=`tan^(-1)((3a^2x-x^3)/(a^3-3a x^2))`

y=`tan^(-1)((a^3(3tantheta-tan^3theta))/(a^3(1-3tan^2theta)))`

`y=tan^(−1)(tan3theta)`


`y=3theta`

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