In 23 Important Theorems we prove the Mean Value Theorem, a cornerstone result in real analysis
In 24 Applications we study a wide range of applications of the mean value theorem, from understanding maxima and minima to L’Hospitals rule.
In 25 Power Series we investigate the differentiability of power series
In 26 Elementary Functions we use calculus to single out the natural exponential, natural logarithm, and natural units (radians) for the trigonometric functions.