Mean Value Theorem and Related Concepts

The Mean value theorem is one of the most important theorems in calculus. We will explain it here and show some of the many consequences of this theorem.

• Mean value theorem, also Rolle's theorem, Cauchy's theorem.
• Derivative and limit including l'Hospital's rule.
• Derivative and monotonicity, injectivity.
• Derivative and concavity.
• Tricks with MVT.