In this lesson on implicit differentiation and derivatives of rational powers, we learn how to find the slope of a curve at any given point, and how to find the points on the curve where the tangent line is either horizontal or vertical. We also explore the power rule for rational powers, and learn how to compute derivatives for functions with fractional exponents. Through various examples and applications, we see how these concepts can be used to solve real-world problems involving curves and functions.
Implicit differentiation. The power rule for rational powers.
Copyright 2005, Department of Mathematics, University of Houston. Created by Selwyn Hollis. Find more information on videos, resources, and lessons at http://online.math.uh.edu/HoustonACT/videocalculus/index.html.