Formula sheet

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Mathematics for Engineering

Power Rule

d/dx [xⁿ]=n·xⁿ⁻¹

Multiply by exponent, reduce exponent by 1.

Log Derivative

d/dx [ln(u(x))]=u'(x) / u(x)

Derivative of inner function divided by inner function.

Work Done by Force

W=F·d·cos(θ)

Work equals force times displacement times cosine of angle.

Incline Acceleration (No Friction)

a=g·sin(θ)

Component of gravity along a frictionless incline.

De Morgan's Laws

¬(A ∧ B)≡¬A ∨ ¬B¬(A ∨ B)≡¬A ∧ ¬B

Negation of conjunction becomes disjunction of negations.