## Video Links 18-3

**Videos:**

Introduction to derivative – (time: 8:44)

… See the whole entry

**Videos:**

Introduction to derivative – (time: 8:44)

… See the whole entry

- Average rate of change
- Instantaneous rate of change
- Derivative
- derivative of
*f*at*x* - differentiable function
- derivative of
*e*^{x}

- derivative of
- Tangent line
- tangent-line

formula - equation of tangent line at a point (
*h, k*).

- tangent-line
- Velocity

- What is Calculus?
- Calculus is the mathematics of motion and change.
- The three main ideas of calculus are limit, derivative, and integral

- The Limit: Zeno’s Paradox
- Achilles and the tortoise
- limit of a sequence

- The derivative: the tangent

- What is Calculus?
- Calculus is the mathematics of motion and change.
- The three main ideas of calculus are limit, derivative, and integral.

- The Limit: Zeno’s Paradox
- Achilles and the tortoise
- limit of a sequence

- The derivative: the tangent