1.

The differential coefficient of \[{{a}^{x}}+\log x.\sin x\]is

A.            \[{{a}^{x}}{{\log }_{e}}a+\frac{\sin x}{x}+\log x.\cos x\]
B.            \[{{a}^{x}}+\frac{\sin x}{x}+\cos x.\log x\]
C.            \[{{a}^{x}}\log a+\frac{\cos x}{x}+\sin x.\log x.\]
D.            None of these
Answer» B.            \[{{a}^{x}}+\frac{\sin x}{x}+\cos x.\log x\]


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