# Derivative of Exponential

Taught by TheMathDude
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Part of video series
Meets NCTM Standards:
Lesson Description:

Know and be able to apply the derivative rule for exponential functions.

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• How do you take the derivative of an exponential function?
• Why is the derivative of e^x still e^x?
• Why is it a big deal when the derivative of a function is itself?
• What is the derivative of b^x?
• How does the chain rule work for exponential functions?
• What is the derivative of e^(nx)?
• What is a quick and easy way to find the derivative of e^x at a point?
• What is the derivative of e^(2x^2 + 2)?
• How do you find the derivative of e^(2x^2 + 2)^2?
• What is the derivative of x*e^(0.1x)?
• #### Staff Review

• Currently 4.0/5 Stars.
This lesson explains the concept of taking the derivative of e^x, which is one of the simplest derivatives to take, and it is also one of the most interesting derivatives. This is a great introduction to taking derivatives of the exponential function and why it works the way it does. Many different examples are shown, solved, and explained in this lesson.