Implicit Differentiation
Explicit vs Implicit Functions
Explicit vs Implicit Functions
In an explicit function, a variable is defined completely using only the other variable. For example, y = f(x) or x = f(y)
In an explicit function, a variable is defined completely using only the other variable. For example, y = f(x) or x = f(y)
In an implicit function, the two variables are not defined completely using the other variable. For example, f(x, y) = 4 or y = f(y)
In an implicit function, the two variables are not defined completely using the other variable. For example, f(x, y) = 4 or y = f(y)
Explore!
Explore!
Use the applet below to observe how the tangent of a circle varies with the x-coordinate.
Use the applet below to observe how the tangent of a circle varies with the x-coordinate.
