Learn to find the derivative of exponential with chain rule

The video tutorial covers the concept of the double chain rule in calculus, focusing on differentiating functions with nested exponents. The instructor explains the process of taking derivatives of inside functions and further differentiating nested functions. The session concludes with a brief mention of an upcoming quiz in the next class.

What is the initial step in applying the double chain rule to a function with an exponent?

• Identify the outer function

• Identify the inside function

• Differentiate the outer function

• Integrate the inside function

When differentiating E to the power of 3X^2, what is the next step after identifying the inside function?

• Divide by the derivative of the inside function

• Subtract the derivative of the inside function

• Add the derivative of the inside function

• Multiply by the derivative of the inside function

What is the derivative of E to the 3X?

• E to the 3X minus 3

• E to the 3X plus 3

• E to the 3X times 3

• 3E to the 3X

In the context of the lesson, what does the term 'inside function' refer to?

• The function that is added to another function

• The function that is integrated first

• The function within another function

• The function that is differentiated first

What is the main focus of the upcoming quiz mentioned in the lesson?

• Trigonometric identities

• Application of the double chain rule

• Integration techniques

• Basic algebra