## Differentiation

Limits

Epsilon / Delta Definition of Limits

(Not required for L/C Exam)

Continuity of Functions

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**Differentiation from first principles**

Differentiation by Rule

**The Chain Rule**

**The Quotient Rule**

**The Product Rule**

**Implicit Differentiation**

Examples of Differentiation

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## Applications of Differentiation

**The Equation of a tangent to a curve**

**Rates of Change**

Increasing and Decreasing Functions

**Stationary Points**

Curve Sketching

Verifying Solutions to Differential Equations

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## Not required for Leaving Cert

## Parametric Differentiation

## Proof of differentiation rule: f(x) = nx => f'(x) = nx^(n-1)

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