Derivatives

The derivative measures the rate at which a function changes. It is the slope of the tangent line at a point.

Definition

f'(x) = limh→0 [f(x+h) - f(x)] / h
            

Rules

• Power Rule: d/dx[x^n] = n x^{n-1}
• Product Rule: (fg)' = f'g + fg'
• Quotient Rule: (f/g)' = (f'g - fg')/g^2