Calculus

Learn concavity of functions for beginners including concave up and concave down functions, the second derivative test, and points of inflection.

Learn how to find intervals of increase and decrease and local extrema using the First Derivative Test with step-by-step examples.

Learn about secant and tangent lines in calculus, how to find their slopes, their connection through limits, and how they relate to the derivative.

Learn how to solve integrals involving radicals with this complete beginner’s guide providing Euler substitution examples with solutions.

This guide explains how to use the Weierstrass substitution step by step to solve trigonometric integrals with examples.

This beginner’s guide to changing variables in double and triple integrals explains the process for change of variables with examples.

Learn how to use polar, cylindrical, and spherical coordinates in integrals with this tutorial featuring detailed solutions for double and triple integrals.

In this beginner’s guide to polar, cylindrical, and spherical coordinates learn how to convert between systems, and compute partial derivatives.

Learn how to simplify double and triple integrals with this step-by-step guide to changing order of integration with examples and solutions for students.

Discover double and triple integrals explained with examples for general regions in 2D and 3D in this beginner’s guide.