Implicit Differentiation

The video tutorial explains implicit differentiation, a technique used to find derivatives of equations not explicitly solved for one variable in terms of another. It covers several examples, including equations of circles, polynomials, mixed terms, and trigonometric functions, demonstrating the use of product and chain rules. The tutorial emphasizes understanding y as a function of x and applying the chain rule when differentiating y.

What is the result of differentiating the equation of a circle using implicit differentiation?

What is implicit differentiation and why is it used?

Explain the process of taking the derivative of both sides of an equation with respect to x.

How does the derivative of a constant relate to implicit differentiation?

What is the significance of treating y as a function of x in implicit differentiation?

How do you apply the chain rule when differentiating y squared with respect to x?

Describe how to differentiate a product involving y and x.

What steps are involved in solving for y prime after differentiating an equation?

Explain the role of the product rule in implicit differentiation.

What is the final expression for y prime in the example involving 4 cosine x sin y?