How to take the derivative with chain rule inside product rule

The video tutorial covers the application of the product and chain rules in calculus to find derivatives. It begins with identifying when to use these rules, followed by a step-by-step process of applying them to a given function. The tutorial emphasizes the importance of simplifying expressions and factoring out common terms to achieve the final derivative form. The instructor also highlights the use of parentheses and brackets for clarity in complex expressions.

What rule is applied when you have a product of functions in calculus?

• Product Rule

• Quotient Rule

• Chain Rule

• Power Rule

When dealing with a binomial raised to a higher power, which rule should be applied?

• Power Rule

• Product Rule

• Quotient Rule

• Chain Rule

What is the derivative of the inside function X^3 - 4?

• 3X^2

• X^2

• 2X

• 3X

Why is it important to use parentheses when applying the chain rule?

• To make the expression longer

• To make it look more complex

• To avoid confusion and ensure clarity

• To increase the difficulty

What is the first step in simplifying derived expressions?

• Simplifying each term individually

• Factoring out the GCF

• Adding all terms

• Multiplying all terms