UNIT 5.1. Differentiation

Formulae (SL & HL)

Limits

Limit Formula

Power Rule (Differentiation)

Chain Rule (Differentiation)

Product Rule (Differentiation)

Quotient Rule (Differentiation)

Standard Derivatives of Functions

Local Maximums (Differentiation)

Local Minimums (Differentiation)

Continuity (Differentiation)

• Continuity - A Function is continuous if:

  • f(x) is defined at every point in a domain.

  • There is a limit at every point.

  • The limit at a point is equal to the functional value at that point.

L’Hopital’s Rule

Implicit Differentiation

For any function with more than one variable, consider the variable that is not differentiated with respect to a function.