Unit 2 : Differentiation Definition & Fundamental Properties

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AP Calculus BC

Unit 2: Differentiation: Definition and Fundamental Properties

Last updated 12:35 AM on 4/25/24
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4 Terms

1
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Differentiability Fails to exist where a function as a…

Discontinuity, Cusp or Vertical Tangent

2
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Difference Quotient

f(b)−f(a)b−a\frac{f(b) - f(a)}{b - a}

3
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Definition of the derivative

lim⁡h→0(x+h)2−x2h\lim_{h \to 0} \frac{(x+h)^2 - x^2}{h}

<p>$$ \lim_{h \to 0} \frac{(x+h)^2 - x^2}{h} $$</p>
4
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ddxlog⁡a(x)=\frac{d}{dx} \log_a(x) =

1xln⁡(a)\frac{1}{x \ln(a)}