Download the App!

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

Prove Equation 4.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 11

Hyperbolic Functions

Derivatives

Differentiation

Campbell University

Harvey Mudd College

Idaho State University

Boston College

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.

44:57

In mathematics, a differentiation rule is a rule for computing the derivative of a function in one variable. Many differentiation rules can be expressed as a product rule.

we know that if why is close on H the negative one of acts in other words, the inverse then we know that co signed each of why is acts. Therefore, we know that sign. Each of why is plus or minus square of X squared minus one. Therefore we have either why is X plus a minus the square root of X squared minus one. Therefore, taking the natural of both sides, we have co sign each. The negative one is equivalent to the natural log of X plus the square root of X squared minus one. And remember, the X has to be greater than or equal to one.

View More Answers From This Book

Find Another Textbook

00:55

a tank is in the shape of a triangular prism. If the triangular base has an…

01:26

a teaher chooses a student at random from a class of 10 boys and 15 girls. F…

03:36

A temperature of a 10m long metal bar is 15C at one end and 30C on the other…

02:22

The degree measures of two angles of a triangle are consecutive even integer…

03:06

Please show me the way of using formula log?

04:23

A particle is moving along the curve whose equation is (xy^3)/(1+y^2)= 8/5. …

01:27

use 3.14. How much foil is required to cover a rectangular box that is 4in b…

02:07

How do you factor this completely:x^3 + ax + 3a + 3x^2

01:37

A surveyor sights the far bank of a river at an angle of 110˚ to the near ba…

00:33

how can i convert radians to degrees?