Khan Academy: Analyzing Unbounded Limits: Mixed Function

Discover how to find limits using graphs. Viewers learn how to determine limits of a piecewise function at specific points by analyzing a graph. They consider both one-sided and two-sided limits.

Sal analyzes the behavior of f(x)=-1/(x-1)^2 around its asymptote at x=1.

Khan Academy: Intro To Hyperbolic Trigonometric Functions video describes hyperbolic trigonometric functions

Analyze the behavior of graphs of functions using a graphing calculator and your knowledge about derivatives.

Analyzing the work of someone who tried to find extrema of a function, to see whether they made mistakes.

Analyzing the work of someone who tried to find extrema of a function, to see whether they made mistakes.

Learn how the second derivative of a function is used in order to find the function's inflection points. Learn which common mistakes to avoid in the process.

Find intervals where a function (given algebraically) is concave up or down.

Sal walks through an exercise where you are asked to recognize the concavity of a function in certain regions.

Taking the derivative of f(x)=x^3-12x+2 and graphing the derivative, so we can tell when f is increasing or decreasing, and where is its relative extremum points.