Question

When using a calculator for implicit differentiation, which steps are typically involved in finding the derivative of an implicitly defined function

A) Solve the equation explicitly for one variable.
B) Substitute known values directly into the equation.
C) Differentiate both sides of the equation with respect to the independent variable.
D) Use numerical methods to approximate the derivative.

Answer 1

When using implicit differentiation with a calculator, the steps involve differentiating both sides of the equation with respect to the independent variable and then solving for the derivative.

Step-by-step explanation:

When using a calculator for implicit differentiation, the typical steps involved in finding the derivative of an implicitly defined function are:

1. Differentiate both sides of the equation with respect to the independent variable.
2. Solve the resulting equation for the derivative.

For example, let's say we have the equation y^2 + x^2 = 5. To find dy/dx, we differentiate both sides of the equation with respect to x. The derivative of y^2 + x^2 with respect to x is 2y(dy/dx) + 2x. We can then solve this equation for dy/dx to find the derivative.