A community for students.
Here's the question you clicked on:
 0 viewing
onegirl
 2 years ago
Find the function f(x) satisfying the given conditions. (HINT: You are finding the value of C)
onegirl
 2 years ago
Find the function f(x) satisfying the given conditions. (HINT: You are finding the value of C)

This Question is Closed

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.1Find \[\int\limits_{}^{}f'(x) dx=f(x)+C, \text{ where } (f)'=f'\]

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.1Integrate the function given to get from f' to f.

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.1Don't forget when you integrate, put +C.

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.1\[\int\limits_{}^{}f'(x) dx=\int\limits_{}^{}(4x^21) dx\] You may find it easy to use the following: \[\int\limits_{}^{}x^n dx =\frac{x^{n+1}}{n+1}+C, n \neq 1\] This is because \[(\frac{x^{n+1}}{n+1})'=(n+1) \cdot \frac{x^{n+11}}{n+1}=x^{n+11}=x^n\] And you may also want to use \[\int\limits_{}^{}k dx=kx+C \text{ where} K, C \text{ are a constant} \]

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.1This is because (kx+C)'=(kx)'+(C)'=k(x)'+0+k(x)'=k(1)=k

zepdrix
 2 years ago
Best ResponseYou've already chosen the best response.0Are you familiar with the idea of `Integration` yet? Or has it only been introduced to you as the process of finding the `antiderivative` so far?

onegirl
 2 years ago
Best ResponseYou've already chosen the best response.1@Best_Mathematician can u help?

Loser66
 2 years ago
Best ResponseYou've already chosen the best response.0so, when you have f' (4x^2 +1) take integral to get back the original function. . when take integral, the solution for that method always a family solution. in case they give you the special solution, that means they want you to pick out just special C in set of family solution . take integral of f' you have f(x) = 4x^3/3 x +C and when they give you f(0) =2 just plug 0 into the function you' ve just got. to find C f(0) = 4 *0^3/3 0 +C = 2 > C =2 that's it

Loser66
 2 years ago
Best ResponseYou've already chosen the best response.0sorry , one more step. plug C back to f(x) = 4x^3/3  x +2

Loser66
 2 years ago
Best ResponseYou've already chosen the best response.0I 'm supper dummy at teaching, hope you can understand what i mean

onegirl
 2 years ago
Best ResponseYou've already chosen the best response.1so plugging 2 back into f(x) = 4x^3/3  x + 2 right?

Loser66
 2 years ago
Best ResponseYou've already chosen the best response.0hey, you misunderstand the concept, they ask you to find out C, and you got C =2 that's it. just plug C =2 into the function, nothing to do more.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.