Take the derivative using the chain rule and trig functions

The video tutorial covers the process of taking derivatives, focusing on the chain rule. It begins with an introduction to derivatives, followed by a detailed explanation of the chain rule. The instructor demonstrates how to apply the chain rule to find the derivative of a tangent function, resulting in secant squared. The session concludes with practice problems and a group discussion to reinforce learning.

What is the initial problem discussed in the video?

• Finding the limit of a function

• Solving an integral of X squared

• Calculating the area under a curve

• Finding the derivative of X and subtracting the derivative of tangent X squared

Which mathematical rule is emphasized in the first section?

• Power Rule

• Chain Rule

• Quotient Rule

• Product Rule

What is the derivative of the outside function, tangent, in the context of the chain rule?

• Cotangent squared

• Secant squared

• Sine squared

• Cosine squared

What is the derivative of the inside function, X squared?

• 2X squared

• 2X

• X squared

• X

How is the final expression rewritten in the solution?

• 1 + 2X secant squared of X squared

• 1 - 2X secant squared of X squared

• 1 + X secant squared of X squared

• 1 - X secant squared of X squared