How to determine the derivative of inverse sine

The video tutorial explains the derivative rule for sine, focusing on the arc sine function. It covers the concept of a function within a function, using X^2 as an example, and demonstrates how to calculate the derivative step-by-step. The session concludes with a brief overview of what will be covered in the next class.

What is the basic formula for the derivative of arc sine?

• F prime of X is X / sqrt(1 + X^2)

• F prime of X is 1 / (1 + X^2)

• F prime of X is X^2 / sqrt(1 - X^2)

• F prime of X is 1 / sqrt(1 - X^2)

What is the input function in the context of the derivative of arc sine discussed in the video?

• X^2

• X^3

• 2X

• X^4

How do you handle a function within a function when finding the derivative?

• Multiply by the derivative of the inner function

• Divide by the derivative of the inner function

• Add the derivative of the inner function

• Ignore the inner function

What is the derivative of the inner function X^2?

• 2X^2

• X

• 2X

• X^2

What will be covered in the next class period according to the video?

• Introduction to integrals

• Advanced trigonometric functions

• Basic algebra

• More examples of the derivative of arc sine