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Mathematics 7 Online
OpenStudy (anonymous):

Hello Can someone correct this math problem for me? (the file is attached in second post). Thanks in advance.

OpenStudy (anonymous):

Sorry can't help you there

OpenStudy (solomonzelman):

Seems fine to me.

OpenStudy (anonymous):

Actually, a teacher told me that my answer wasn't totally correct. But he didn't say what I did wrong. Would you please double-check it?

OpenStudy (solomonzelman):

Ok, sure...

OpenStudy (solomonzelman):

Would you mind if I type everything here?

OpenStudy (anonymous):

Of course!

OpenStudy (anonymous):

Of course not, I mean haha

OpenStudy (solomonzelman):

\(\rm \Large\color{black}{ \displaystyle m=\ln(qh-2h^2)+2e^{(q-h^2+3)^4}-7 }\)

OpenStudy (solomonzelman):

\( \large\color{black}{ \displaystyle m=\ln(q\color{red}{h}-2\color{red}{h}^2)+2e^{(q-\color{red}{h}^2+3)^4}-7 }\) \( \large\color{black}{ \displaystyle \partial m/\partial \color{red}{h}=\frac{q-4\color{red}{h}}{q\color{red}{h}-2\color{red}{h}^2} +2e^{(q-\color{red}{h}^2+3)^4}\times4(q-\color{red}{h}^2+3)^3\times (-2h) }\)

OpenStudy (solomonzelman):

(you said +2h)

OpenStudy (anonymous):

Yes, thank you :) But what about the the dm/dq part?

OpenStudy (solomonzelman):

Let me take a look at that....

OpenStudy (solomonzelman):

\(\large\color{black}{ \displaystyle m=\ln(\color{blue}{q}h-2h^2)+2e^{(\color{blue}{q}-h^2+3)^4}-7 }\) \(\large\color{black}{ \displaystyle \partial m/\partial \color{blue}{q}=\frac{h}{\color{blue}{q}h-2h^2} +2e^{(\color{blue}{q}-h^2+3)^4}\times 4{(\color{blue}{q}-h^2+3)^3}\times 1 }\)

OpenStudy (solomonzelman):

this ×1, is the chain rule. (To make sure it is understood that there is really no chain rule 2nd time by dm/dq)

OpenStudy (anonymous):

Now it makes sense :) Thank you so much once again!

OpenStudy (solomonzelman):

New variables, m h and q :) You welcome...

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