Question

i can compute the derivative of an implicitly-defined function and find the slope of the tangent line to an implicit curve

Answer 1

Finding the equation of the tangent line by using implicit differentiation is essentially the same as doing it by using ordinary differentiation. Keep in mind that we use normal differentiation to complete the following procedures to determine the equation of the tangent line:

1. Take the given function's derivative.
2. To get the slope of the tangent line, evaluate the derivative at the specified position.
3. Simplify by entering the provided point and the slope of the tangent line into the $(y-y_{1} ) = m(x-x_{1} )$ formula for the equation of a line.

The equation for the tangent line to the given function at the given position is the outcome. The methods we just stated apply when we have a function that isn't explicitly defined for yy and obtaining the derivative needs implicit differentiation; however, in Step 1, we utilize implicit differentiation rather than standard differentiation.

Learn more about Implicit Differentiation here

https://brainly.com/question/11887805

#SPJ4