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Introductory calculus : understanding the derivative /
Annotation
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York [New York] (222 East 46th Street, New York, NY 10017) :
Momentum Press,
2015.
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 1. The foundation of the derivative
- The derivative of a function at a point
- The derivative as a function
- The Leibniz notation
- 2. Using the derivative for powers and linear combinations
- The derivatives of rational powers of x
- The derivatives of linear combinations
- Higher-order derivatives
- The proof of the power rule for arbitrary rational powers
- 3. Using the derivatives of sine and cosine
- The derivatives of sine and cosine at 0
- The derivative functions corresponding to sine and cosine
- 4. Using the derivative in velocity and acceleration
- 5. Local linear approximations
- The differential
- The traditional notation for the differential
- The accuracy of local linear approximations
- 6. Understanding the product and quotient rules
- The quotient rule
- 7. Applying the chain rule
- A plausibility argument for the chain rule
- The chain rule in the Leibniz notation
- The chain rule for more than two functions
- The proof of the chain rule
- 8. The problems of related rates
- 9. The intermediate value theorem
- Newton's method
- 10. Using implicit differentiation