You understand that a derivative can be viewed as the slope of the tangent line at a point or the instantaneous rate of change of a function with respect to x. This tutorial will deepen your ability to visualize and conceptualize derivatives through videos and exercises.We think you'll find this tutorial incredibly fun and satisfying (seriously).
This video looks at the derivative properties and polynomial derivatives.
This video looks at the derivative of log with arbitrary base.
This 9-minute video lesson demonstrates the calculus: derivative of x^(x^x).
This 15-minute video lesson shows how to visualize the derivative of a position vector valued function.
This 9-minute video lesson looks at how to find the slope of a tangent line to a curve (the derivative). Introduction to Calculus.
This 10-minute video lesson covers more intuition of what a derivative is. It looks at using the derivative to find the slope at any point along f(x)=x^2.
You can figure out the derivative of f(x). You're also good for g(x). But what about f(x) times g(x)? This is what the product rule is all about. This tutorial is all about the product rule. It also covers the quotient rule (which really is just a special case of the product rule).
When we wanted to take the derivative of f(x)g(x) in differential calculus, we used the product rule. In this tutorial, we use the product rule to derive a powerful way to take the anti-derivative of a class of functions--integration by parts.
This 16-minute video lesson looks at how to Determine a Position Vector-Valued Function for a Parametrization of Two Parameters.
This video looks at determining which limit statements are true.
This 5-minute video lecture demonstrates how to understand the differential of a vector valued function.
This video covers Finding the volume of a figure that is rotated around the y-axis using the disc method.
This 10-minute video lesson shows how to figure out the volume of a function rotated about the x-axis .
This video looks at the Volume of solid created by rotating around vertical line that is not the y-axis using the disc method.
This 8-minute video lesson looks at the volume of y=sqrt(x) between x=0 and x=1 rotated around x-axis.
This video looks at the solid of revolution constructing by rotating around line that is not an axis.
This 8-minute video lesson examines more volumes around the x-axis.
This video covers Finding the volume of a solid of revolution that is defined between two functions.
You know how to use definite integrals to find areas under curves. We now take that idea for "spin" by thinking about the volumes of things created when you rotate functions around various lines. This tutorial focuses on the "disc method" and the "washer method" for these types of problems.