Learn how to use the chain rule with tangent

The video tutorial explains how to solve a calculus problem involving the derivative of a composite function. It identifies the outside function as tangent of X and the inside function as 6X. The process involves taking the derivative of the outside function, secant squared, and substituting the inside function, 6X, into it. Finally, the derivative of the inside function is multiplied to get the final expression, 6 secant squared of 6X.

What is the outside function in the given problem?

• Tangent of X

• Sine of X

• Cosine of X

• Exponential of X

What is the inside function in the problem?

• X

• 6

• 6X

• X^2

What is the derivative of the outside function?

• Secant squared

• Sine squared

• Tangent squared

• Cosine squared

What do you substitute into the derivative of the outside function?

• X

• X^2

• 6X

• 6

What is the final expression for the derivative?

• 6 cosine squared of 6X

• 6 sine squared of 6X

• 6 tangent squared of 6X

• 6 secant squared of 6X