TIL-I PoliTo
Formula sheet
Bookmark formulas to build your personal reference sheet.
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.
Physics & Mechanics
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.
Logic, Reading & Technical Knowledge
De Morgan's Laws
¬(A ∧ B)≡¬A ∨ ¬B¬(A ∨ B)≡¬A ∧ ¬B
Negation of conjunction becomes disjunction of negations.