1. Start with the original function.
2. Rewrite the function into two seperate functions.
3. Break the derivative down into two parts via the chain rule.
4. Take the derivative of the outer function, and then multiply that with the derivative of the inner function.
5. Multiply the constants to simplify.
6. Expand and simplify as needed.

KEY IDEA: Differentiate both sides of an equation with respect to x, then solve for dy/dx.

1. Start with the original equation.

2. Differentiate both sides term-by-term with respect to x.

   • treat y as a function of x (use the chain rule for y-terms)

3. Apply derivatives.

4. Solve for dy/dx by isolating the derivative term.

5. Simplify as needed.

KEY IDEA: Differentiating multiple times to achieve a function's second, third, fourth, or higher derivatives.

1. Start with the original equation.

2. Derive multiples times using different derivative rules as needed.