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Find the derivative of y = cos^-1 5x ....

Find the derivative of `y = cos^-1 5x `.

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`y=cos (3 cos^(-1)x)`
`rArr" "(3 sin (3 cos^(-1)x))/(sqrt(1-x^(2)))`
`rArr" "sqrt(1-x^(2))y'=3 sin (3 cos ^(-1)x)`
`rArr" "(-x)/(sqrt(1-x^(2)))y'+sqrt(1+x^(2))y''=3cos (3cos ^(-1) x)cdot(-3)/(sqrt(1-x^(2)))`
`rArr" "-xy'+(1-x^(2))y''=-9y`
`rArr" "(1)/(y)[(x^(2)-1)y''+xy']=9`
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