| Ch 2. Derivatives I | Multimedia Engineering Math | ||||||
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Derivative Formulas |
Trigonometric Functions |
Differentiability |
Chain Rule |
Implicit Differentiation |
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| Derivative Formulas | Case Intro | Theory | Case Solution |
| Chapter |
| 1. Limits |
| 2. Derivatives I |
| 3. Derivatives II |
| 4. Mean Value |
| 5. Curve Sketching |
| 6. Integrals |
| 7. Inverse Functions |
| 8. Integration Tech. |
| 9. Integrate App. |
| 10. Parametric Eqs. |
| 11. Polar Coord. |
| 12. Series |
| Appendix |
| Basic Math |
| Units |
| Search |
| eBooks |
| Dynamics |
| Fluids |
| Math |
| Mechanics |
| Statics |
| Thermodynamics |
| Author(s): |
| Hengzhong Wen |
| Chean Chin Ngo |
| Meirong Huang |
| Kurt Gramoll |
©Kurt Gramoll
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| Introduction |
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As Tom plays football with a group of friends he happens to kick the ball into some water. A girl nearby finds that the ball creates circular ripple that travele outward. She wonders how fast the circle area of the circular circles increase in size. What is known: The circular ripple travels outward at 2 ft/sec. |
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| Questions |
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| How fast does the circle of area increase after 3 seconds? | ||
| Approach |
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The rate of circular circles area change is the derivative of the area function. |
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