Rules of Differentiation

Question 1

State the chain rule

Answer 1

dy/dx = dy/du * du/dx

where u is the inner function

Question 2

State the product rule

Answer 2

if y = UV, then dy/dx = (V * du/dx) + (U * dv/dx)

Question 3

State the quotient rule

Answer 3

if y = U/V, then dy/dx = [(V * du/dx) - (U * dv/dx)] / V^2

note, order matters with this rule