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.$ h(t) = \sqrt[4]{t} - 4e^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 Clarissa Noh

Numerade Educator

This textbook answer is only visible when subscribed! Please subscribe to view the answer

00:27

Frank Lin

Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 1

Derivatives of Polynomials and Exponential Functions

Derivatives

Differentiation

Jp R.

October 17, 2019

The question in the book is not e^1 ... It is e^t

Campbell University

Oregon State 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.

03:12

Differentiate the function…

01:44

03:03

00:49

Use the Product Rule to di…

02:37

01:33

01:22

00:50

he has clear. So when you read here so we have a job. T is equal to t to the 1/4 power minus four times eats the tea. This can be rewritten s t to the 1/4 power. So when we derive this, it's in terms of tea were t to the 1/4 power dynasty over d T or eat the tea. And this becomes equal to 1/4 t to the negative three for its bonus for e to the T four e to the T is the same since the derivative of an exponential it's the same no matter how many times you take the derivative.

View More Answers From This Book

Find Another Textbook

02:33

Directions: The figure below is a floor plan of a house. part of the house, …

01:37

2. SCALES A 10-pound weight is weighed on two different scales. Find the app…

02:08

3. If you serve 6 0Z cupS of soda, how many servings can YOu pour from a 2 l…

02:15

40"Note: Figure not drawn scale:In the circle shown; AB is the …

02:49

Prove HI A VU by filling = out the flowchart below:For each box, choose …

01:08

What additional information is needed to show that ABC = DEF by SSS? AB = DE…

05:21

quadratic sequence begins 9, 12 , 17 , 24, 33,a) What is the nth term ru…

01:54

Reciangle PORS is folded along the line PR The ratio ol Ihe ared of Rectangl…

01:03

When Bashir commutes to work; the amount of time it takes him to arrive is n…

03:15

rectangular tile has length 4x cm and width (x+3)cm The area of the rectangl…