How to use the definition of a derivative to evaluate the limit

The video tutorial explains how to evaluate the derivative of a function at a specific point using the power rule. It begins by introducing the problem of finding F prime at C, where C equals 1/2. The function is identified using the limit definition, and the derivative is calculated. The tutorial then demonstrates the calculation of F prime at 1/2, highlighting a mistake in the process and correcting it.

What is the value of C at which the derivative is evaluated?

• 1

• 3/4

• 1/2

• 1/4

What is the function F(x) identified in the video?

• F(x) = 8 * X^8

• F(x) = 8 * X^7

• F(x) = 7 * X^7

• F(x) = 7 * X^8

Which rule is used to calculate the derivative in the video?

• Chain Rule

• Product Rule

• Quotient Rule

• Power Rule

What is the derivative of F(x) = 8 * X^8 using the power rule?

• 64 * X^7

• 64 * X^8

• 8 * X^7

• 8 * X^6

What mistake does the narrator acknowledge in the calculation process?

• Incorrect function

• Wrong power rule application

• Wrong value plugged in

• Misunderstanding of limit definition