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(t) = \sqrt {1 + \ln t} $
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
00:20
Frank Lin
Calculus 1 / AB
Chapter 3
Differentiation Rules
Section 6
Derivatives of Logarithmic Functions
Derivatives
Differentiation
Missouri State University
Campbell University
Oregon State University
Harvey Mudd 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.
02:37
Differentiate the function…
0:00
01:43
01:16
In this problem we are asked to find the avatar of 1 plus natural tree, so the outer function or the vale of pressure here is ferron inside we have more posnania while finding derivative we're going to start from the outer oppression. So derivative of square root, which is 1 over 2 square root of 1 plus initial left t not multiply this by the therese inner function, which is 1 plus natural love of t that is 1 over 2 square root of 1 plus natural log of t multiplied By 1 over t, so we can write the derivative prime of theta as 1 over 2 t times square root of 1 plus negatur log of t.
View More Answers From This Book
Find Another Textbook
04:22
A street light is at the top of a 19 ft pole. A 4 ft tall girlwalks alon…
07:37
At noon, ship A is 170 km west of ship B. Ship A issailing east at 30 km…
02:27
Assume that when an adult is randomly selected, theprobability that they…
03:04
Assume that when adults with smartphones are randomly selected,58% use t…
06:14
I need help with this questionA sailboat foats in a current that fows no…
Equipment acquired on January 8, 20Y1, at a cost of $675,000,has an esti…