Question

Implicit derivative calculator with steps.

A) Differentiate explicitly
B) Apply the chain rule
C) Use the quotient rule
D) Apply L'Hôpital's rule

Answer 1

To find the implicit derivative of a function, follow the step-by-step process using the power rule, chain rule, quotient rule, and L'Hôpital's rule if necessary.

Step-by-step explanation:

To find the implicit derivative of a function, you can follow these steps:

1. Identify the equation you want to differentiate.
2. Apply the power rule of differentiation to explicitly differentiate any terms not involving the derivative.
3. Apply the chain rule to differentiate terms involving the derivative.
4. Use the quotient rule if the equation involves a quotient of functions.
5. Apply L'Hôpital's rule if necessary, when the limit of a fraction is indeterminate.

By following these steps, you can find the implicit derivative of any given equation.