Ap calculus exam question product and chain rule common denominators

The video tutorial explains how to rewrite a function using rational powers and apply the product and chain rules to find its derivative. The instructor demonstrates the process of simplifying the expression, finding a common denominator, and achieving the final simplified form of the derivative. The tutorial emphasizes the importance of simplifying expressions for clarity, especially in multiple-choice scenarios.

What is the first step in finding the derivative using the product rule?

• Applying the chain rule

• Combining like terms

• Finding the common denominator

• Rewriting the function with rational powers

Which rule is used to find the derivative of the second term in the product?

• Quotient rule

• Sum rule

• Chain rule

• Power rule

What is a common method to simplify expressions in multiple-choice questions?

• Ignoring fractions

• Using the quotient rule

• Combining like terms

• Expanding all terms

How do you handle a negative power in the simplification process?

• Leave it as is

• Add it to the numerator

• Multiply by the reciprocal

• Move it to the denominator

What is the final simplified form of the derivative in this lesson?

• 1 - X^2 raised to the 1/2

• 1 / (1 - X^2) raised to the 1/2

• X^2 / (1 - X^2) raised to the 1/2

• X / (1 - X^2) raised to the 1/2