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 Unit 1A1: Relations, Functions and Graphs
Browse all Unit 1A1: Relations, Functions and Graphs questions for AP Calculus AB, or explore more Mathematics topics.
Related questions
What is the value of $\cos 60^{\circ}$?What is the value of $ in 30^{\circ}$?A wheel makes $360$ revolutions in one minute. Through how many radians does it turn in onSolve for y: 2y + 5/3 = 26/3 − ySolve for t: 5t − 3 = 3t − 5Which of the following is a linear equation in one variable?Solve for x: (x − 5)/3 = (x − 3)/5Using standard limits, evaluate $\lim_{x\to 0}\dfrac{a^x-1}{x}$ for $a>0$.