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Formulas

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Orbily scans your course and gathers every formula into one clean list: the expression front and center, plus a one-line explanation of what it means and when to use it.

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Formulas

Math · Calculus

12 formulas extractedChapters 3 · 4

Differentiation

(uv)' = u'v + uv'

Product rule: differentiate each factor in turn

(eᵘ)' = u'·eᵘ

The exponential copies itself, times u′

(ln u)' = u'/u

Chain rule on the log, valid where u > 0

Limits

lim₀ sin(x)/x = 1

Reference limit, proved by squeezing

lim₊∞ ln(x)/x = 0

Growth comparison: x beats ln(x)

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No. Every formula has a short explanation: what it computes and when to use it.

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