Learn how to take the derivative of a exponential equation with 2 as base

The video tutorial explains the concept of exponential functions, highlighting that while they share similarities, different bases result in different graphs. It delves into the derivatives of exponential functions, specifically focusing on E to the X and A to the A, and how they differ. The tutorial also introduces the concept of natural logarithms, noting that further evaluation will be done in future classes once calculators are available.

What is a key characteristic of exponential functions with different bases?

• They are identical in every aspect.

• They are not exponential functions.

• They have no similarities at all.

• They share similarities but are not exactly the same.

How do the derivatives of exponential functions with different bases compare?

• They are similar but change with the base.

• They do not exist.

• They are completely different.

• They are exactly the same.

What is the derivative of a function with base 2?

• ln of X

• X squared

• 2X

• 2 to the X, times the ln of 2

What is the role of the natural logarithm in the derivative of a function with base 2?

• It is subtracted from the base raised to the power of X.

• It is not used at all.

• It is multiplied by the base raised to the power of X.

• It is added to the base raised to the power of X.

When will the evaluation using the natural logarithm be covered?

• In the previous class

• In the current class

• In the next class period

• It will not be covered