Differentiation Question 226
Question: The differential coefficient of $ a^{x}+\log x.\sin x $ is
Options:
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
Show Answer
Answer:
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 $ .
BETA
