Calculus 1 - Derivatives

This calculus 1 video tutorial provides a basic introduction into derivatives.

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Full 1 Hour 35 Minute Video:

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Here is a list of topics:
1. The Power Rule For Derivatives
2. The Constant Multiple Rule
3. The Limit Definition of Derivatives
4. How To Find The Slope of the Tangent Line
5. Derivatives of Polynomial Functions
6. Derivatives of Rational Functions
7. Derivatives of Square Root Functions
8. Differentiating Radical Functions
9. Derivatives of Trigonometric Functions
10. The Product Rule For Derivatives
11. The Quotient Rule For Derivatives

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[frozenporcupine]

1:25 power rule
3:51 constant multiple rule
8:54 limit definition
13:10 slope of tangent line
20:32 derivative of polynomials
26:24 derivative of rational functions
30:46 derivative of square root functions
41:08 derivative of trigonometric functions
42:50 product rule
49:40 quotient rule

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[zoecerlynnxu]

Derivative of Trigonometry :
Sin = cos
Cos = -sin
Sec = sec.tan
Cosec = -cosec.cotan
Tan = sec²
Cot = -cosec²

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[kurchak]

@14:15 I just want to point something out. He said the difference between a tangent line and a secant line is that the secant line hits the function at two point and the tangent hits at one point. This is somewhat true, but just know that a tangent line can also hit a function at two (or even many!) points. Many functions are crazy, wavy, windy things and your tangent lines might cross over many parts, but they are tangent TO THAT ONE POINT as opposed to being derived by connecting two points.

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