Derivative Rules

Constant Rule: d/dx[c]= 0

Constant Multiple Rule: d/dx[cf(x)] = cf’(x)

Sum Rule: d/dx[f(x)+g(x)] = f’(x)+g’(x)

Difference Rule: d/dx[f(x)-g(x)] = f’(x)-g’(x)

Product Rule: d/dx[f(x)-g(x)] = f’(x)g(x) + f(x)'g’(x)

Quotient Rule:d/dx[f(x)/g(x)] = g(x)f’(x)-f(x)g’(x)/[g(x)]²

Chain Rule:d/dx[f(g(x))] = f’(g(x))g’(x)