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**Week 4: Derivative of algorithmic, exponential and Trigonometry functions. Curve Sketching. Application of derivatives in Business and Economics.**

In geometry, curve sketching are techniques for producing a rough idea of overall shape of a plane curve given its equation, without computing the large numbers of points required for a detailed plot. It is an application of the theory of curves to find their main features. **Banks use derivatives** to hedge, to reduce the risks involved in the **bank's** operations. For example, a **bank's** financial profile might make it vulnerable to losses from changes in interest rates. The **bank** could purchase interest rate futures to protect itself. Or a pension fund can protect itself against credit default.

- Domain. Find the domain of the function and determine the points of discontinuity (if any).
- Intercepts.
- Symmetry.
- Asymptotes.
- Intervals of Increase and Decrease.
- Local Maximum and Minimum.
- Concavity/Convexity and Points of Inflection.
**Graph**of the Function.