Using the chain rule to relate changing quantities, including dtdy=dxdy⋅dtdx,
Given three variables x, y, and z,
Hence, given dzdx, we can find an expression for dzdy by calculating dxdy.
Given the time rate of change of radius, length, height, or width of a three dimensional object, you may find the time rate of change of volume by taking the derivative of the volume equation.
Nice work completing Related Rates, here's a quick recap of what we covered:
Exercises checked off
Using the chain rule to relate changing quantities, including dtdy=dxdy⋅dtdx,
Given three variables x, y, and z,
Hence, given dzdx, we can find an expression for dzdy by calculating dxdy.
Given the time rate of change of radius, length, height, or width of a three dimensional object, you may find the time rate of change of volume by taking the derivative of the volume equation.
Nice work completing Related Rates, here's a quick recap of what we covered:
Exercises checked off