menu
Qammunity.org
Login
Register
My account
Edit my Profile
Private messages
My favorites
F(x)+x4[f(x)]3=2005f(x)+x4[f(x)]3=2005 and f(2)=5f(2)=5, find f′(2) PLEASE HELP We went over this in class but she only showed us how to get it to dy/dx and not how to actually …
Ask a Question
Questions
Unanswered
Tags
Ask a Question
F(x)+x4[f(x)]3=2005f(x)+x4[f(x)]3=2005 and f(2)=5f(2)=5, find f′(2) PLEASE HELP We went over this in class but she only showed us how to get it to dy/dx and not how to actually …
asked
Sep 11, 2018
5.3k
views
5
votes
F(x)+x4[f(x)]3=2005f(x)+x4[f(x)]3=2005 and f(2)=5f(2)=5, find f′(2)
PLEASE HELP
We went over this in class but she only showed us how to get it to dy/dx and not how to actually get a number I REALLY need help on this!
Calculus is horrible
Mathematics
college
Lonecat
asked
by
Lonecat
8.6k
points
answer
comment
share this
share
0 Comments
Please
log in
or
register
to add a comment.
Please
log in
or
register
to answer this question.
1
Answer
5
votes
Differentiating both sides yields
The right hand side is a constant, so the derivative is just 0, and
. The remaining term requires using the product rule:
Using the power rule for the first term here and the power/chain rules for the second gives
Putting everything together, you have
Collecting the terms with
gives
Now, finding the value of the derivative at
is just a matter of plugging in
:
We know
, so we get
Urdearboy
answered
Sep 16, 2018
by
Urdearboy
7.7k
points
ask related question
comment
share this
0 Comments
Please
log in
or
register
to add a comment.
← Prev Question
Next Question →
Related questions
asked
Oct 28, 2024
192k
views
Does anyone know how to solve any of these two maths questions? a. Find dy/dx when y=2xlog e (2x) b. Find f′(0) when f(x)= e^x^2/ e^x+1
Jake Braun
asked
Oct 28, 2024
by
Jake Braun
7.6k
points
Mathematics
high-school
1
answer
3
votes
192k
views
asked
Dec 14, 2024
90.3k
views
What happens to the function f(x)=x^4 when it becomes f′(x)=x4+5?
Mohammed Shannaq
asked
Dec 14, 2024
by
Mohammed Shannaq
8.2k
points
Mathematics
college
1
answer
1
vote
90.3k
views
asked
Jan 15, 2024
114k
views
What happens to the function f(x) = x4 when it becomes f′(x) = x4+5? a) It moves 5 units to the right. b) It moves 5 units to the left. c) It moves 5 units downward. d) It moves 5 units upward.
LCE
asked
Jan 15, 2024
by
LCE
8.4k
points
Mathematics
high-school
1
answer
0
votes
114k
views
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.
9.4m
questions
12.2m
answers
Categories
All categories
Mathematics
(3.7m)
History
(955k)
English
(903k)
Biology
(716k)
Chemistry
(440k)
Physics
(405k)
Social Studies
(564k)
Advanced Placement
(27.5k)
SAT
(19.1k)
Geography
(146k)
Health
(283k)
Arts
(107k)
Business
(468k)
Computers & Tech
(195k)
French
(33.9k)
German
(4.9k)
Spanish
(174k)
Medicine
(125k)
Law
(53.4k)
Engineering
(74.2k)
Other Questions
How do you can you solve this problem 37 + y = 87; y =
How do you estimate of 4 5/8 X 1/3
A bathtub is being filled with water. After 3 minutes 4/5 of the tub is full. Assuming the rate is constant, how much longer will it take to fill the tub?
Twitter
WhatsApp
Facebook
Reddit
LinkedIn
Email
Link Copied!
Copy
Search Qammunity.org