Download the App!
Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.
Question
Answered step-by-step
Find the derivative. Simplify where possible.$ y = x \sinh^{-1} (x/3) - \sqrt {9 + x^2} $
Video Answer
Solved by verified expert
This problem has been solved!
Try Numerade free for 7 days
Like
Report
Official textbook answer
Video by Amrita Bhasin
Numerade Educator
This textbook answer is only visible when subscribed! Please subscribe to view the answer
Calculus 1 / AB
Chapter 3
Differentiation Rules
Section 11
Hyperbolic Functions
Derivatives
Differentiation
Campbell University
Harvey Mudd College
Idaho State University
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.
02:15
Find the derivative. Simpl…
02:17
Find the derivative of the…
01:19
$30-45$ Find the derivativ…
00:54
01:09
01:43
03:14
Calculate the derivative.<…
01:01
02:19
Calculate the derivative o…
04:08
we know that we're looking at one over the squared of one plus U squared is the general formula we're plugging into. Therefore, why prime as Axe Times one over the spurt of one plus acts over three squared that's obviously export over nine times 1/3 plus sign h the minus one of X over three minus acts over the square root of nine plus X squared. This simplifies to sign a TSH to the negative one of X over three in other words, 1/3 x.
View More Answers From This Book
Find Another Textbook
02:06
A pair of dice is rolled. Find the probabilities of the givenevents. (En…
02:10
To survey a random sample of the 300 passengers on a flight fromSan Fran…
00:34
The Department of Transportation of the State of New Yorkclaimed that it…
01:41
!) In one-way ANOVA, we use F-test to find mean differencebetween groups…
01:54
gasoline is being poured into a vertical cylindrical tank of a radius 3 feet…
01:33
. A high school bandteacher has a record of each student's absence.…
01:35
Determine if there is sufficient evidence to conclude theaverage amount …
04:03
For PARTS A & B: From experience, it is known that 70% of one-year-old c…
01:22
Find a parametric representation for the surface. The part ofthe hyperbo…
06:00
QUESTION 1The owner of a local cinema is considering twoalternative …
