Question

Whenever a term containing \[y\] is differentiated during implicit differentiation, which factor appears by the chain rule?

Options

• \[\frac{dy}{dx}\]

• \[\frac{d^2y}{dx^2}\]

• \[\frac{dx}{dy}\]

• \[\frac{d}{dx}(x)\]

Answer 1

A term involving \[y\] is differentiated by treating \[y\] as a function of \[x\]. Therefore, the chain rule introduces the factor \[\frac{dy}{dx}\].