Cheat Sheet

Calculus For Dummies Cheat Sheet

From Calculus For Dummies, 2nd Edition

By Mark Ryan

Calculus requires knowledge of other math disciplines. To make studying and working out problems in calculus easier, make sure you know basic formulas for geometry, trigonometry, integral calculus, and differential calculus.

20 Handy Derivatives for Calculus

These derivatives are helpful for finding things like velocity, acceleration, and the slope of a curve — and for finding maximum and minimum values (optimization) when you’re dealing with differential calculus.

Product rule:

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Quotient rule:

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List of 20 handy derivatives:

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Note: Where c is a constant

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Note: Where c is a constant

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Note: Where a is a constant

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20 Handy Integrals for Calculus

If you’re studying integral calculus, the following integrals will help you to work out complex calculations involving area, volume, arc length, center of mass, work, and pressure.

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Note: Where a is a constant

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Note: Where a is a constant

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Note: Where a is a constant)

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Note: Where a is a constant

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Note: Where a is a constant

Handy Trigonometry: Right Triangles, Degrees and Radians, Identities, and Formulas

This trigonometry info will help you deal with triangles, finding their relationships between the sides and angles of right triangles, and make calculations based on these relationships.

Right triangle trig

SohCahToa:

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Degrees and radians

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Identities

Reciprocal identities

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Quotient identities:

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Pythagorean identities:

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Formulas

Half-angle formulas:

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Double-angle formulas:

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Reduction formulas:

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