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 one year ago
Find the function f(x) satisfying the given conditions. (HINT: You are finding the value of C)
 one year ago
Find the function f(x) satisfying the given conditions. (HINT: You are finding the value of C)

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

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

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

myininaya
 one year 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
 one year 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
 one year 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
 one year ago
Best ResponseYou've already chosen the best response.1@Best_Mathematician can u help?

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

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

Loser66
 one year 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.
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