Differentiation

Question 1

The product rule

Answer 1

d/dx(uv) = u.dv/dx + v.du/dx

Question 2

The quotient rule

Answer 2

d/dx(u/v) = (v.du/dx - u.dv/dx) / v^2

Question 3

The chain rule

Answer 3

dy/dx = dy/du . du/dx