Exercise ID257

Mathematical analysis → Derivation → Derivatives of composite functions
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Compute the derivative of the given function below.

y=ln 2x+1sin x

y=ln 2x+1sin x y=ln2x+112sinx y'=sin x2x+112·122x+1-12·2sin x-2x+112·cos xsin2 x =2x+112 =sin x2x+1-2x+1cos x2x+1sin x =sin x-2x+1cos x2x+1sin x =12x+1-ctg x
y'=12x+1-ctg x
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