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
Correct Answer: A
Solution :
Let \[y={{a}^{x}}+\log x.\sin x\] Differentiating w.r.t. x, we get \[\frac{dy}{dx}={{a}^{x}}{{\log }_{e}}(a)+\frac{1}{x}\sin x+\log x.\cos x\].
You need to login to perform this action.
You will be redirected in
3 sec
