Implicit Differentiation  Find The First & Second Derivatives  Summary and Q&A
TL;DR
Implicit differentiation is a technique used to find the derivative of an equation with both x and y variables.
Questions & Answers
Q: What is implicit differentiation?
Implicit differentiation is a method used to find the derivative of an equation with both x and y variables. It involves differentiating both sides of the equation with respect to x, treating y as a function of x.
Q: How do you differentiate terms with x variables?
To differentiate terms with x variables, the power rule is used. For example, the derivative of x^2 is 2x.
Q: How do you differentiate terms with y variables?
When differentiating terms with y variables, dy/dx is added to the equation. For example, the derivative of y^3 is 3y^2 * dy/dx.
Q: How do you isolate dy/dx after differentiation?
To isolate dy/dx, factors without dy/dx are moved to the other side of the equation. Then, dy/dx is factored out and divided by the remaining terms.
Summary & Key Takeaways

Implicit differentiation involves differentiating both sides of an equation with respect to x, treating y as a function of x.

The power rule is used to differentiate terms with x variables, and dy/dx is added to terms with y variables.

After differentiating, factors without dy/dx are moved to the other side of the equation, and dy/dx is factored out to isolate it.