Derivatives do not exist in four types of functions: Corners, cusps, jumps, and asymptotes. Implicit Differentiation is the process of finding the derivative of a function with two variables. The derivative dy/dx is taken out of the entire equation. Wherever the derivative of x is found, a dx/dx is placed next to that piece, simplifying to 1. Wherever the derivative of y is found, dy/dx is multiplied by that piece. The last step is to solve for dy/dx.
The most important thing to remember in a related rate problem is to make sure to multiply dy/dx in the places where it is needed.
Like Maddie told me, related rate is always over time, not just dx. But not bad.
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