A calculus problem by Akshat Sharda

Calculus Level 3

\[\frac{d}{dx} \sqrt{ \sin (7x+\ln(5x)) }\]

If the value of above expression is in the form \[\frac{(Ax+1) \cos (Ax+\ln(Bx))}{Cx\sqrt{ \sin( Ax+\ln(Bx))}}\]

Find \(A+B+C\).

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