How to take the derivative of arctan with product rule and chain

The video tutorial explains the concept of arctan, also known as tan inverse, and its application in calculus. It introduces the product rule for differentiation and demonstrates how to apply it to find the derivative of a function involving arctan. The tutorial further simplifies the resulting expression, emphasizing the importance of correctly squaring terms and multiplying powers.

What is another name for arctan?

• Tan inverse

• Cosine inverse

• Cot inverse

• Sine inverse

Which rule is applied to find the derivative Y prime in the given example?

• Power rule

• Chain rule

• Product rule

• Quotient rule

In the expression tan inverse of 2X^3, what is the value of U?

• 2X^3

• X^2

• X^3

• 3X^2

What is the derivative of U, where U is 2X^3?

• 6X^2

• 3X^2

• 2X^2

• X^3

When simplifying the expression, what is the result of squaring 2X^3?

• 2X^3

• 2X^6

• 4X^6

• 4X^3