CHEM 5 Lecture Notes - Flakpanzer Gepard, International System Of Units, Normalizing Constant

64 views14 pages
School
Department
Course

Document Summary

The derivative of a function f(x) of one variable x is defined as the limit: lim 0 fhx+hl - fhxl h f"(x) = h . If y = f(x), the derivative is also denoted as f"(x) = dy/dx. The derivative is the instantaneous rate of change of f(x). Geometrically, the derivative is the slope of the line tangent to f(x). When the limit exists, the function is said to be differentiable. It is important to keep in mind that not all functions are differentiable. Out[2]= -3 + 16 x + 6 x2. You can also use the prime notation to evaluate higher derivatives as follows: One way to evaluate the derivative is by using the prime notation, f"[x]: There are several ways to evaluate derivatives within mathematica. We demonstrate them using the cubic polyno- mial f(x) = 2x3 + 8x2 - 3x + 1: In[1]:= f@x_d := 2 x^3 + 8 x^2 - 3 x + 1;

Get access

Grade+20% off
$8 USD/m$10 USD/m
Billed $96 USD annually
Grade+
Homework Help
Study Guides
Textbook Solutions
Class Notes
Textbook Notes
Booster Class
40 Verified Answers
Class+
$8 USD/m
Billed $96 USD annually
Class+
Homework Help
Study Guides
Textbook Solutions
Class Notes
Textbook Notes
Booster Class
30 Verified Answers

Related textbook solutions

Related Documents

Related Questions