Implicit Differentiation: The Step Everyone Forgets

In this quick One and Done calculus problem, we use implicit differentiation to find dy/dx for the circle:

x^2+y^2=16

This equation represents a circle, and we are finding the slope of tangent lines at points on that circle. Since each point on the circle has both an x-coordinate and a y-coordinate, the derivative will depend on both x and y.

The key idea: when differentiating a term with y, do not forget the dy/dx (which is really just the chain rule!)

Great review for Calculus 1, implicit differentiation, derivatives, tangent lines, circles, and AP Calculus review.

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