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Mathematics & Statistics • Calculus

Derivatives in Context

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A question is much more likely to ask which quantity is the derivative of which than to hand you an integral needing a clever substitution.

If you haveThe derivative isThe integral is
PositionVelocity—
VelocityAccelerationPosition
Shear diagramLoadMoment
ChargeCurrent—

Memorise that as a table, not as four separate facts. Several exam questions are answerable purely by knowing which way the relationship runs.

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