Derivatives and Graphing

Tutorial on using the derivative to detect increasing and decreasing functions. Local maximum and local minimum are also defined. Emphasis on graphical analysis.

Tutorial on using the second derivative to detect concavity of functions. Inflection points are also defined. Emphasis on graphical analysis.

Tangent Lines and Parametric Curves

Tutorial on finding tangent lines to parametric curves.

Tutorial on finding tangent lines to polar curves.

Implicit Differentiation

Tutorial on implicit differentiation.

Derivatives of Inverse Functions

Tutorial on finding the derivatives of inverse functions.

Logarithmic Differentiation

Derivatives and Inverses of Trigonometric Functions

Tutorial on finding the derivatives of the inverse trig functions.

Differentials

Tutorial on differentials.

Maxima and Minima

Tutorial on finding the maxima and minima of a function on a closed interval.

L'Hospital's Rule

Mean Value Theorem

Tutorial on the Mean Value Theorem; includes Rolle's Theorem and the First Derivative Test.

Optimization Problems

Newton's Method

Tutorial on Newton's Method.