Home / Calculus / Calculating Derivatives / Derivatives of Polynomials, Exponential, and Trig Functions A. Derivatives of Polynomials, Exponential, and Trig Functions Basic derivative rules for power, exponential, and trig functions. Topics in this Section A.1 Derivatives of Constant, Linear, and Power Functions A.2 Derivative of Exponential Functions A.3 Derivatives of sin x and cos x