This is a course that Henry and Ben are studying during 2021.
( x n ) ′ = n ∗ x n − 1 {\displaystyle (x^{n})'=n*x^{n-1}}
( f + g ) ′ = f ′ + g ′ {\displaystyle (f+g)'=f'+g'}
( f − g ) ′ = f ′ − g ′ {\displaystyle (f-g)'=f'-g'}
( f ∗ g ) ′ = f ∗ g ′ + g ∗ f ′ {\displaystyle (f*g)'=f*g'+g*f'}
( f g ) ′ = ( g f ′ − f g ′ ) / g 2 {\displaystyle (f \over g)'=(gf'-fg')/g^{2}}
