Unit 2 : Differentiation Definition & Fundamental Properties

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Differentiability Fails to exist where a function as a…

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1

Differentiability Fails to exist where a function as a…

Discontinuity, Cusp or Vertical Tangent

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2

Difference Quotient

f(b)f(a)ba \frac{f(b) - f(a)}{b - a}

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3

Definition of the derivative

limh0(x+h)2x2h \lim_{h \to 0} \frac{(x+h)^2 - x^2}{h}

<p>$$ \lim_{h \to 0} \frac{(x+h)^2 - x^2}{h} $$</p>
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4

ddxloga(x)= \frac{d}{dx} \log_a(x) =

1xln(a) \frac{1}{x \ln(a)}

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