Question

For the Chain Rule for Rates \[\frac{dy}{dx}=\frac{\frac{dy}{dt}}{\frac{dx}{dt}}\], which condition is required?

Options

• \[\frac{dy}{dx}=0\]

• \[\frac{dy}{dt}=0\]

• \[\frac{dx}{dt}=0\]

• \[\frac{dx}{dt}\neq 0\]

Answer 1

The formula divides by \[\frac{dx}{dt}\], so this quantity must not be zero.
Therefore, it is valid only if \[\frac{dx}{dt}\neq0\].