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10 cards from this deck
How a function changes at any given point
f(b)−f(a)b−a\frac{f(b) - f(a)}{b - a}b−af(b)−f(a)
Line passing through two points on a curve
Line that touches curve at exactly one point
f′(x)=limh→0f(x+h)−f(x)hf'(x) = \lim_{h \to 0} \frac{f(x+h) - f(x)}{h}f′(x)=limh→0hf(x+h)−f(x)
Finding derivative by directly evaluating the limit
2x2x2x
f′(a)≈f(a+h)−f(a)hf'(a) \approx \frac{f(a+h) - f(a)}{h}f′(a)≈hf(a+h)−f(a)
f′(a)≈f(a+h)−f(a−h)2hf'(a) \approx \frac{f(a+h) - f(a-h)}{2h}f′(a)≈2hf(a+h)−f(a−h)
Line segment joining two points on a curve
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