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Question
find dy/dx if `y=tan^-1((6x)/(1-5x^2))`
Solution
Let ` y=tan^-1((6x)/(1-5x^2))`
`=tan^-1((x+5x)/(1-5x^2))`
`y=tan^-1(x)+tan^-1(5x)`
Differentiating w.r.t x
`dy/dx=1/(1+x^2)+1/(1+25x^2)xx5`
`=1/(1+x^2)+5/(1+25x^2)`
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