Open Middle®

Implicit Differentiation at a Point

Directions: Using the integers -9 through 9, at most two times each, place an integer in each box to make the equations true.

Remember how the derivative of x and y are not the same.

Have you tried plugging in the values of the point into the derivative?

There are many answers. One is -9x^2+3y^2=-6, and dy/dx at (-1,-1) = 3.

Source: Owen Kaplinsky

Directions: Using the digits -9 to 9, at most two times each, place a digit …