UNIT 5.1. Differentiation

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Formulae (SL & HL)

IB Mathematics: Analysis and Approaches (HL)

Calculus

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12 Terms

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Limits

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Limit Formula

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Power Rule (Differentiation)

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Chain Rule (Differentiation)

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Product Rule (Differentiation)

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Quotient Rule (Differentiation)

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Standard Derivatives of Functions

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Local Maximums (Differentiation)

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Local Minimums (Differentiation)

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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.

<ul><li><p><span><strong>Continuity - A Function is continuous if:</strong></span></p><ul><li><p><span>f(x) is defined at every point in a domain.</span></p></li><li><p><span>There is a limit at every point.</span></p></li><li><p><span>The limit at a point is equal to the functional value at that point.</span></p></li></ul></li></ul><p></p>
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L’Hopital’s Rule

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Implicit Differentiation

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

<p><span>For any function with more than one variable, consider the variable that is not differentiated with respect to a function.</span></p>