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`cos^(-1)((3cosx-2sinx)/(sqrt(13)))`

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Let `f(x)=cos^(-1)((3cosx-2sinx)/(sqrt(13)))`
`=cos^(-1)((3)/(sqrt(13))cosx-(2)/(sqrt(13))sinx)`
Let `(3)/(sqrt(13))=cosalpha`.
Then , `sinalpha=(2)/(sqrt(13))`
`f(x)=cos^(-1)(cosalphacosx-sinalphasinx)`
`=cos^(-1)cos(alpha+x)`
`f(x)=alpha+x`
`f(x)="cos"^(-1)(3)/(sqrt(13))+x`
`(d)/(dx)f(x)=(d)/(dx)("cos"^(-1)(3)/(sqrt(13))+x)`
f '(x)=1
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