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Mathematics 10 Online
OpenStudy (anonymous):

Differentiation problem

OpenStudy (anonymous):

OpenStudy (anonymous):

one term is k So S^2 where k and So are constants

OpenStudy (anonymous):

the other term is - kS^3

OpenStudy (anonymous):

can you differentiate?

OpenStudy (anonymous):

@telliott99 differentiate what exactly?

OpenStudy (anonymous):

2S and the contants are 1.

OpenStudy (anonymous):

We have P = f(S) Find dP/dS

OpenStudy (anonymous):

d/dx (cx^2) = 2cx Look familiar?

OpenStudy (anonymous):

@telliott99 2kS

OpenStudy (anonymous):

What about So, isn't that a constant?

OpenStudy (anonymous):

\[2kS(S _{0}-S)\]

OpenStudy (anonymous):

For the first term I do get 2 k So S For the second term I get -3 k S^2

OpenStudy (anonymous):

If that looks right, now set equal to 0 and solve for S.

OpenStudy (anonymous):

Yeah I got that.

OpenStudy (anonymous):

I think i have to factorize

OpenStudy (anonymous):

@telliott99 I think we are both wrong, I just recieved the solution

OpenStudy (anonymous):

Solve the equation we just found.

OpenStudy (anonymous):

2 k So S - 3 k S^2 = 0 2 So - 3 S = 0 S = (2/3) So

OpenStudy (anonymous):

Thank you, I was getting confused with all the S terms and I forgot to cancel out the k's when dividing..

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