# j-james/math

All my math notes, now in Markdown.

View the Project on GitHub j-james/math

# 4-6 Related Rates

## Learning Targets

You will be able to

• Solve application problems involving multiple rates

## Concepts / Definitions

Solve related rate problems like any other story problem.
These problems often involve implicit differentiation because the questions involve problems asking for a rate of change with respect to a variable different than the variables in the equation.

Important

1. Do not substitute given values unless it remains constant in the problem.
2. Don’t forget rule #1.

Our one constant value is the length of the ladder, always staying at 50. Knowing this and knowing that the ladder forms a right triangle with the wall, we can establish the equation $x^2 + y^2 = 50^2$.