This video covers doing some hairy algebra and arithmetic to evaluate the definite integral from the last video.
- Author:
- Khan, Salman
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This 11-minute video lesson provides an introduction to partial derivatives.
- Author:
- Khan, Salman
This 10-minute video lesson provides more explanation of partial derivatives.
- Author:
- Khan, Salman
This 10-minute video lesson looks at Partial Derivatives of Vector-Valued Functions.
- Author:
- Khan, Salman
This 17-minute video lesson shows that if a vector field is the gradient of a scalar field, then its line integral is path independent.
- Author:
- Khan, Salman
This 10-minute video lesson shows how to use a polynomial to approximate a function at f(0).
- Author:
- Khan, Salman
This 10-minute video lesson looks at how to approximate a function with a polynomial by making the derivatives equal at f(0) (Maclauren Series).
- Author:
- Khan, Salman
This 10-minute video lesson show how to approximate cos x with a Maclaurin series.
- Author:
- Khan, Salman
In this 10-minute video lesson (part 6 of the Polynomial approximation of functions series) a pattern emerges!
- Author:
- Khan, Salman
This 10-minute video lesson examines the most amazing conclusion in mathematics!
- Author:
- Khan, Salman
This 9-minute video lesson looks at the MacLaurin representation of sin x.
- Author:
- Khan, Salman
This 8-minute video lecture demonstrates how to use a position vector valued function to describe a curve or path. [Calculus playlist: Lesson 133 of 156]
- Author:
- Khan, Salman
Calculus is about to seem strangely straight forward. You've spent some time using the definition of a derivative to find the slope at a point. In this tutorial, we'll derive and apply the derivative for any term in a polynomial. By the end of this tutorial, you'll have the power to take the derivative of any polynomial like it's second nature!
This 10-minute video lesson looks at how to determine the derivatives of simple polynomials.
- Author:
- Khan, Salman
This 9-minute video lecuture looks at the product rule. It provides examples using the Product and Chain rules.
- Author:
- Khan, Salman
This video looks at the Product rule for more than two functions.
- Author:
- Khan, Salman
This video looks at the Proof of the Lagrange error bound (the bound of the error).
- Author:
- Khan, Salman
This 5-minute video looks at the proof that the derivative of e^x is e^x.
- Author:
- Khan, Salman
This 10-minute video lecture covers taking the derivative of ln x.
- Author:
- Khan, Salman
This 5-minute video lesson looks at the proof that d/dx (x^.5) = .5x^(-.5).
- Author:
- Khan, Salman