Chapter 05 · Derivatives
05.04
Derivatives of Exponential Functions
Why eˣ is its own derivative, how to differentiate any exponential aˣ, and why exponential growth means growth proportional to size.
About 40 minutes
You'll learn to
- →Derive the derivative of eˣ from the limit definition
- →Combine eˣ with the power, constant multiple and sum rules
- →Differentiate aˣ for any base a > 0
- →Differentiate e^(kx) and interpret exponential rates of change