This 6-minute video lesson looks at approximating f(x)=cos x using a Maclauren Series (special case of a Taylor series at x=0).
This 10-minute video lesson provides an introduction to the curl of a vector field.
This 10-minute video lesson examines the mechanics of calculating curl.
This 10-minute video lesson provides more on curl.
This 9-minute video lesson looks at how to solve a definite integral with substitution (or the reverse chain rule).
This 10-minute video lesson provides more on why the antiderivative and the area under a curve are essentially the same thing.
This 10-minute video lesson provides examples of using definite integrals to find the area under a curve.
This 10-minute video lesson provides more examples of using definite integrals to calculate the area between curves.
This 10-minute video lecture provides more on why the antiderivative and the area under a curve are essentially the same thing.
This video looks at definite integrals and negative area.
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.