Tweet

Example:Let (a) Find the average rate of change of with respect to over the interval.(b) Find the instantaneous rate of change of with respect to at the point .
We havePut Again Put The average rate of change over the interval is (b) For Instantaneous Rate of Change: We havePut Now, putting then The instantaneous rate of change at the point is .
We havePut Again Put The average velocity over the interval is (b) For Instantaneous Velocity: We havePut Now putting The instantaneous velocity at is
Example:Use the formula for the area of a circle to find, (a) the average rate of which the area of a circle changes with as the radius increases form to .(b) the instantaneous rate at which the area of a circle changes with when .
We havePut Again Put The average rate of change from to is (b) For Instantaneous Rate of Change: We havePut Now putting The instantaneous rate of change at the point is . |

- Algebra (48 tutorials)
- Basic Algebra (3 tutorials)
- Basic Mathematics (3 tutorials)
- Basic Statistics (169 tutorials)
- Business Math (7 tutorials)
- Calculus (215 tutorials)
- Everyday Math (17 tutorials)
- Geometry (165 tutorials)
- Linear Programming (7 tutorials)
- Trigonometry (5 tutorials)

- General Topology (42 tutorials)
- Group Theory (72 tutorials)
- Real Analysis (26 tutorials)

- Free Math E Books (4 tutorials)
- Math Results And Formulas (53 tutorials)