2*7x7-1 = 14x6 y = 5x0.3‚ dy/dx = 5*0.3*x0.3-1 = 1.5x-0.7 Exercises: Calculate dy/dx a) y= 3x2 b) y = 12x0.8 c) y = 6 e) y = 5/x4 g) y = 3 f) y = 4x2 + 2/x3 d) y = +4/ h) y = 8x Another useful derivative rule is for the natural logarithm. Let y = ln x‚ for x>0. Then‚ dy/dx = 1/x Example: y = 5 lnx‚ dy/dx = 5/x Exercises: i) y = 3lnx j) y = -2lnx k) y = 2x7 – (lnx)/2 1 l) y = 5ln x - 2/x3 ECN601 – Section 003 Syracuse University Fall 2010 Professor Lourenço
Premium Derivative Calculus Natural logarithm
How to Work with Dummy Independent Variables Chapter 8 is devoted to dummy (independent) variables. This How To answers common questions on working with and interpreting dummy variables. Questions: 1) How to include dummy variables in a regression? 2) How to interpret a coefficient on a dummy variable? 3) How to test hypotheses with dummy variables and interaction terms? 4) How to create a double-log functional form with dummy variables? 5) How to interpret a coefficient on
Premium Regression analysis Polynomial Natural logarithm
AP Statistics Name ____________________________________________ Chapter 4 Practice Test Part I - Multiple Choice 1. Suppose that the scatterplot of (log x‚ log y) shows a strong positive correlation Which of the following must be true? I. The variables x and y also have a correlation close to 1. II. A scatterplot of (x‚ y) shows a strong nonlinear pattern. III. The residual plot of the variables x and y shows a random pattern. (a) I only (b) II only (c) III only (d) I and
Premium Causality Plot Correlation does not imply causation
Earthquakes and Logarithms Earthquakes are responsible for a wast majority of natural hazards on our planet. This natural geological phenomena are almost impossible to predict‚ and they occur usually in zones of the planet that are prone to movement in the uppermost crust of the earth. Certain areas are more likely to experience earthquakes‚ and also the aftermath of the earthquakes can be just as destructive or sometimes even more. Different methods of measuring earthquakes have been implemented
Premium Earthquake Plate tectonics Earth
Natural resources are all the things on Earth that support life. Plants‚ animals‚ air‚ and water are natural resources. Natural resources are also things that people use to make life easier. Your life is easier because you can ride in a bus powered by gasoline. You can cook your dinner in a microwave oven powered by electricity. People use natural resources to make gasoline and electricity. People use many natural resources to make their lives easier. There are different kinds of natural resources
Premium Natural resource Renewable resource Habitat conservation
Natural Resources and Energy Paper SCI/256 March 30‚ 2013 Professor Natural Resources and Energy Paper Tropical rainforests like so many other natural places are a scarce resource in the 21st century. They are unique and unlike any other ecosystem. They are in fact crucial to the global ecosystem and vital to human existence. Beyond compare as it relates to their biological diversity‚ tropical rainforests are a natural reservoir of genetic diversity which offers a rich source of medicinal
Premium Nuclear power Forest Renewable energy
Natural disasters‚ however powerful and sudden they may be‚ are not incapable of being guarded against. The modern technology has given enough gadgets to people for forecasting‚ and lessening if not totally preventing heavy damages inflicted upon by the natural disasters. Only requirement is that people must take interest in getting as much awareness as possible about the safeguard measures. It is also important to see that we do not contribute to natural disasters by polluting the environment and
Premium Natural environment Technology Science
Natural Selection and Heritability: From Butterflies to humans Created for SPICE by Amy Non and Carmella O’Steen March 2007 Natural Selection Simulation Lesson 2 (as modified from Robert Gendron’s “Simulating Natural Selection” for Introductory Biology Lab College Course‚ Indiana University of Pennsylvania) Key Question(s): What is natural selection? How does natural selection change allele frequencies over time? Does natural selection work differently on large versus small populations
Premium Natural selection Population genetics Evolution
Ramon Ramirez The Natural World: Are We a Part of it or Separated From it? The natural world is a source that many of us humans take for granted. It is full of resources that benefit all of us‚ but we should be careful as to how much of those resources we use. Even though the natural world cannot communicate with us verbally‚ its patterns allow us to do many things such as‚ predict weather. As for the question as to whether or not we humans are a part of the natural world or not‚ I think we are
Premium Epic of Gilgamesh Epic poetry Natural environment
Natural resources occur naturally within environments that exist relatively undisturbed by humanity‚ in a natural form. A natural resourceis often characterized by amounts of biodiversity and geodiversity existent in various ecosystems. Natural resources are derived from the environment. Some of them are essential for our survival while most are used for satisfying our needs. Natural resources may be further classified in different ways. Natural resources are materials and components (something
Premium Natural resource Renewable resource Resource