Differentiating exponentials and logarithms

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# Differentiating exponentials and logarithms - PowerPoint PPT Presentation

##### Differentiating exponentials and logarithms

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1. Differentiating exponentials and logarithms

2. A geometric approach to f(x)=ex

3. A geometric approach to f(x)=ex

4. A geometric approach to f(x)=ex

5. Do Q1, Q2, Q3, Q4, p.54 An algebraic approach to f(x)=ex

6. A definition for f(x)=ex

7. Calculating e

8. Integrating ex Do Q5-Q11, p.54

9. The natural logarithm

10. Derivative of the natural logarithm The proof is a consequence of the ‘mini-theorem’ outlined on p.55. Do Exercise 4B, p.57

11. The reciprocal integral This plugs a gap!!! Do Exercise 4C, pp.58-59

12. Extending the reciprocal integral Do Q1, p.62 Do Misc. Exercise 4, Q1-Q18, pp.62-64