Chapter 4: Exponential functions Notes

Sections

1. 4A Review of the exponential function base e Mastered

   The number e, the derivative of e^x and e^(ax+b), and tangents and normals to exponential curves.

   Open notes
2. 4B Differentiating exponential functions Mastered

   Differentiating e^f(x) with the chain rule, and functions involving e^x with the product and quotient rules.

   Open notes
3. 4C Sketching exponential curves Mastered

   Stationary points, points of inflection and curve sketching for functions involving e^x, including asymptotes and finding minimum values.

   Open notes
4. 4D Integrating exponential functions Mastered

   Standard integrals of e^x and e^(ax+b), definite integrals, finding a function from its derivative, the reverse chain rule with f'(x)e^f(x), and finding an integral from a given derivative.

   Open notes
5. 4E Areas with exponential functions Mastered

   Finding areas under exponential curves and between exponential curves and other curves or lines.

   Open notes
6. 4F Exponential functions with other bases Mastered

   Writing a^x as e^(x ln a), differentiating and integrating a^x, and why e is the natural base for calculus.

   Open notes