AP Calculus ABmediummcq1 pt
If f(x) = eˣ, then f'(x) =
A.xeˣ⁻¹
B.eˣ
C.eˣ·ln(e)
D.eˣ/x
Explanation
Core Concept
The derivative of eˣ is eˣ itself. This is a special property of the exponential function—the only function whose derivative equals the original function.
Correct Answer
Beˣ
More Unit 2: Differentiation: Definition and Basic Derivative Rules practice questions
- hardIf $f(x)=\dfrac{\cos x}{x^2}$, then $f'(x)=$
- hardIf $f(x)=\dfrac{\ln x}{x}$, then $f'(x)=$
- mediumIf $f(x)=\dfrac{e^x}{x^2}$, then $f'(x)=$
- mediumIf $f(x)=\dfrac{x^2}{e^x}$, then $f'(x)=$
- mediumIf $f(x)=\dfrac{\sin x}{x}$, then $f'(x)=$
Practice more AP Calculus AB questions with full explanations
Practice Unit 2: Differentiation: Definition and Basic Derivative Rules Questions →