Calculus - Exponential Function Derivative
For this video we cover the exponential rule for derivatives. This means we want to take the derivative of functions like 5^x. The key for remembering this rule is that it works just like the derivative of e^x. The only change is we also need to multiply by the natural log of the base.
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0:00 Introduction
0:05 How to take the derivative of an exponential function
0:30 Example: derivative of e^x
0:48 Example: derivative of 7^x
1:09 Using the chain rule with exponential functions
2:02 Using the product rule with exponential functions
3:36 Thanks for Watching!
▬▬ Related Videos ▬▬▬▬▬▬▬▬▬▬▬
This video is related to many other topics. Check them out:
Evaluating a definite integral: • Calculus - Evaluating a definite integral
Derivative of sin and cos: • Calculus - Derivative of sin and cos
Chain rule for derivatives: • Calculus - The chain rule for derivatives
Product rule for derivatives: • Calculus - The product rule for derivatives
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