How to use implicit differentiation on an equation for dy dx

The video tutorial explains the process of differentiating both sides of an equation with respect to X, focusing on equations involving X and Y variables. It covers applying derivatives to various terms, understanding when variables match, and collecting and factoring terms. The tutorial concludes with solving for DYDX, the derivative of Y with respect to X.

What is the primary focus when differentiating both sides of an equation with respect to X?

• Identifying the constants

• Simplifying the equation

• Matching variables

• Finding the sum of terms

When collecting terms in an equation, where should terms involving DY/DX be placed?

• On the right side

• They should be eliminated

• On the left side

• In the middle

What is the purpose of factoring out DY/DX in an equation?

• To isolate DY/DX

• To eliminate variables

• To simplify the equation

• To add more terms

How do you solve for DY/DX after factoring it out?

• By adding terms

• By subtracting terms

• By multiplying both sides

• By dividing both sides

What is the final expression for the derivative of Y with respect to X?

• 3Y squared over 2X plus 5

• 5 over 2X plus 3Y squared

• 2Y over 3X squared minus 5

• 2X over 3Y squared plus 2Y minus 5