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
Differentiate the function.
$ G(y) = \ln \frac {(2y + 1)^5}{\sqrt {y^2 + 1}} $
Video Answer
Solved by verified expert
This problem has been solved!
Try Numerade free for 7 days
Like
Report
Official textbook answer
Video by Doruk Isik
Numerade Educator
This textbook answer is only visible when subscribed! Please subscribe to view the answer
00:36
Frank Lin
Calculus 1 / AB
Chapter 3
Differentiation Rules
Section 6
Derivatives of Logarithmic Functions
Derivatives
Differentiation
Harvey Mudd College
University of Nottingham
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.
02:11
Differentiate the function…
01:25
Differentiate.$$y=\ln …
01:49
Find the derivative of the…
01:56
00:58
00:52
05:39
Differentiate the followin…
In this problem, we are asked to find a derivative of function, g of or using properties of a recti functions. Since we are dividing 2 functions, we can write this 1 as natural log of 2 y plus 1, the fifth minus natural log of square root of y squared plus 1 point now. This is this further could be written as we can take this power 5 and then write it here so pi times, natural log of 2 y plus 1 minus square root is power to the 1 half. So we can write this 1 as 1, half natural log of 1 square plus 4 point now. Let'S take derivative of this simplified form, so g prime of y, isn't equal to at just a constant 5 times 1 over 2 y plus 1 times the r to t inner function, which is 2 minus 1 half of 1 over y square plus 1 multiplied by A derivative of ennfunction, which is 2 y, so we can then write. The answer is 10 divided by 2 y plus 1 minus 2 will cancel out y divided by y squared plus 1.
View More Answers From This Book
Find Another Textbook
04:17
The demand equation for a particular kind of shirt is 2px + 65p − 4950 = 0 w…
01:29
In how many ways can two basketballs, 3 volleyballs, and 4 soccer balls be a…
01:38
in mathematics seminar 15 students are in grade 7-10 are in grade eight 20 a…
01:02
A 3m x 5m rectangular rug was replaced in the middle of a 7m x 6m room. What…
02:21
. Find the area under the normal curve from z=0.81 to z=1.94.
00:37
according to central limit theorem,which sample size will give a smaller sta…
01:06
The advantage of this method is you can see all the possible arrangements on…
00:31
2. Rod has 4 shirts, 3 pairs of pants, and 2 pairs of shoes that allcoordina…
In adding integers, signs of the numbers must be put into consideration. Tru…
02:29
1. According to the weather application on your phone, the temperature tonig…
