Question

After differentiating both sides of an implicit equation, what should be done with the terms containing \[\frac{dy}{dx}\]?

Options

• Replace \[\frac{dy}{dx}\] with \[\frac{dx}{dy}\].

• Collect the terms containing \[\frac{dy}{dx}\] and solve for it.

• Set every term containing \[\frac{dy}{dx}\] equal to zero.

• Delete all terms containing \[\frac{dy}{dx}\].

Answer 1

The derivative obtained from implicit differentiation usually contains several terms with \[\frac{dy}{dx}\]. These terms are collected together, and the equation is solved for \[\frac{dy}{dx}\].