Search results
List of Derivative Rules. Below is a list of all the derivative rules we went over in class. Constant Rule: f(x) = c then f0(x) = 0. Constant Multiple Rule: g(x) = c · f(x) then g0(x) = c · f0(x) Power Rule: f(x) = xn then f0(x) = nxn−1. Sum and Difference Rule: h(x) = f(x)±g(x) then h0(x) = f0(x)±g0(x)
This is a self contained set of lecture notes for Math 221. The notes were written by Sigurd Angenent, starting from an extensive collection of notes and problems compiled by Joel Robbin. The LATEX and Python les which were used to produce these notes are available at the following web site http://www.math.wisc.edu/~angenent/Free-Lecture-Notes
Title: Calculus_Cheat_Sheet_All Author: ptdaw Created Date: 12/9/2022 7:12:41 AM
A special rule, the chain rule, exists for differentiating a function of another function. This unit illustrates this rule. In order to master the techniques explained here it is vital that you undertake plenty of practice exercises so that they become second nature.
Basic Differentiation - A Refresher 5. Differentiation of a simple power. . . To differentiate s = tn. Example. Bring the existing power down and use it to multiply. s = t3. Reduce the old power by one and use this as the new power.
Speaking of examples, we will state several rules for differentiation before working some examples. Theorem 3.3.B. Derivative Power Rule for Positive Integers.
Formulas: (note: u is a function of x) (sin(x)) = cos(x) dx. (2) (cos(x)) = sin(x) dx. d. (3) (tan(x)) = sec2(x) dx. d. (4) (sec(x)) = sec(x) tan(x) dx. d. (5) (cot(x)) = dx.
