1. Miami Dade College -- Hialeah Campus. Calculus I Formulas. MAC 1. Limits and Derivatives. 2. Differentiation rules. 3. Applications of Differentiation. 4. the object at x a.. Basic Properties and Formulas. If (). f x and (). g x are differentiable functions (the derivative exists), c and n are any real numbers,. 1. () . (). In both the Differential and Integral Calculus, examples illustrat- ing applications .. whose Equation is given between Three Rectangular Co- ordinates, jc, y, z.
Diffusion (conduction) equation; Wave equation; Legendre's equation; Bessel's equation;. Laplace's equation; Spherical harmonics. Calculus of Variations. Calculus Review and Formulas. Keone Hon. Revised 4/29/ 1 Functions. Definitions. Definition 1 (Function) A function is a rule or set of rules that. Integral Calculus Formula Sheet. Derivative Rules: () 0 d c dx. = (). 1 n n d x nx dx. -. = .) sin cos d x x dx. = .) sec sec tan d x x x dx. = .) 2 tan sec d x x dx..
Differentiation Formulas d dx k = 0. (1) d dx. [f(x) ± g(x)] = f (x) ± g (x). (2) d dx. [k · f (x)] = k · f (x). (3) d dx. [f(x)g(x)] = f(x)g (x) + g(x)f (x) (4) d dx. (f(x) g(x).) = g(x)f (x). Appendix G.1 □ Differentiation and Integration Formulas. G1. □. Use differentiation and integration tables to supplement differentiation and integration . Separable Equations Including the Logistic Equation Powers Instead of . ( That is integration, and it is the goal of integral calculus.) Differentiation goes. Source: adapted from notes by Nancy Stephenson, presented by Joe Milliet at TCU AP Calculus Institute, July AP Calculus Formula List. Math by Mr.