alleryThe derivative of $a^x$ for $a>0$ and $a\neq 1$ is
A$a^x$
B$x a^{x-1}$
C$a^x\ln a$
D$\ln x$
Answer & Solution
Correct answer: C. $a^x\ln a$
Using the standard exponential differentiation formula, $\dfrac{d}{dx}(a^x)=a^x\ln a$.
**Option A is only the special case when $a=e$.**
Keep practising Introduction to Trigonometry
Browse all Introduction to Trigonometry questions for JEE Advanced, or explore more Mathematics topics.