Mathematics/Calculus/Corner cases

From Thalesians Wiki
< Mathematics‎ | Calculus
Revision as of 08:57, 22 December 2020 by Admin (talk | contribs) (Added a corner case.)

Derivatives

The derivative of

  • Let .
  • Take of both sides: .
  • Differentiate both sides: .
  • Apply the chain rule on the left-hand side: .
  • Apply the product rule on the right-hand side: .
  • Putting it together, we have .
  • Hence .

Integrals

Limits