Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

Find the indicated limit.$$\lim _{x \rightarrow 0} 5$$

5

Calculus 1 / AB

Chapter 2

An Introduction to Calculus

Section 3

Limits and Continuity

Derivatives

Oregon State University

Baylor University

University of Michigan - Ann Arbor

Lectures

04:40

In mathematics, a derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a moving object with respect to time is the object's velocity. The concept of a derivative developed as a way to measure the steepness of a curve; the concept was ultimately generalized and now "derivative" is often used to refer to the relationship between two variables, independent and dependent, and to various related notions, such as the differential.

30:01

In mathematics, the derivative of a function of a real variable measures the sensitivity to change of the function value (the rate of change of the value of the function). If the derivative of a function at a chosen input value equals a constant value, the function is said to be a constant function. In this case the derivative itself is the constant of the function, and is called the constant of integration.

01:45

Find the limits.$$\lim…

01:15

00:30

Find the limits$$\lim …

00:54

Find the indicated limit.<…

01:05

Find each limit.$\lim …

01:24

00:50

Find the limits.$$…

No transcript available

View More Answers From This Book

Find Another Textbook

Numerade Educator

01:34

The hypothenuse and one leg of a right triangle are 18 and 12 inches respect…

02:43

Determine the equation of the parabola passing through the points (0,10)…

01:50

Refer to Figures $8,9,$ and $10 .$ In each case, choose another point on the…

03:04

(a) Draw the graph of the parabola. (b) From your graph, estimate the $x$ -i…

02:26

Plot the lines found in Exercise $5$.

01:13

A barnyard is to be fenced is as indicated in Figure $23 .$ If 4200 feet of …

02:33

a) sketch the graph of the given function, and then draw the tangent line at…

02:57

Determine the derivative at the given point on the curve using equation (2).…

03:19

Determine (a) $f(x)+g(x),$ (b) $f(x)-g(x),$ (c) $f(x) g(x)$ (d) $f(x) / g(x)…