Differentiability Fails to exist where a function as a…
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AP Calculus BC
Unit 2: Differentiation: Definition and Fundamental Properties
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Discontinuity, Cusp or Vertical Tangent
Difference Quotient
f(b)−f(a)b−a \frac{f(b) - f(a)}{b - a} b−af(b)−f(a)
Definition of the derivative
limh→0(x+h)2−x2h \lim_{h \to 0} \frac{(x+h)^2 - x^2}{h} limh→0h(x+h)2−x2
ddxloga(x)= \frac{d}{dx} \log_a(x) = dxdloga(x)=
1xln(a) \frac{1}{x \ln(a)} xln(a)1