Mathematics
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OpenStudy (arianna1453):
Fan + Medal
Calculus Help Please
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OpenStudy (arianna1453):
OpenStudy (anonymous):
Hey do you know implicit differentiation?
OpenStudy (arianna1453):
OpenStudy (arianna1453):
That is what i got so far
OpenStudy (anonymous):
Your notation is a bit confusing, it's \[\frac{ dy }{ dx }\]
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OpenStudy (anonymous):
derivative of a constant is 0... don't forget that!
OpenStudy (anonymous):
also, you had an error in taking another derivative... look it over and be careful!
OpenStudy (anonymous):
In any case, \[4-xy=y^3\] so you have the right idea, we do apply product rule, we get \[-y-x \frac{ dy }{ dx } = 3y^2 \frac{ dy }{ dx }\] right?
OpenStudy (arianna1453):
Right my mistake
OpenStudy (anonymous):
Simply solve for dy/dx now :)
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OpenStudy (arianna1453):
so it would then give you -y = -x dy/dx + 3y^2 dy/dx = -y/-x+3y^2
OpenStudy (anonymous):
Careful with the signs
OpenStudy (anonymous):
\[-y = 3y^2\frac{ dy }{ dx }+x \frac{ dy }{ dx }\] right?
OpenStudy (arianna1453):
crap right
OpenStudy (arianna1453):
Wait are you sure.
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OpenStudy (arianna1453):
I thought it would be adding x
OpenStudy (anonymous):
I'm not sure what you mean, can you please show it
OpenStudy (arianna1453):
at the very beginning its -(1)(y) + x dy/dx
OpenStudy (arianna1453):
Oh no no. Ignore me sorry got that wrong. Youre right. So then i got the answer of -y/x+3y^2
OpenStudy (anonymous):
Perfect! :)
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OpenStudy (anonymous):
\[\frac{ dy }{ dx } = - \frac{ y }{ x+3y^2 }\]
OpenStudy (arianna1453):
Thank you!!! can you help me with another?
OpenStudy (anonymous):
Hey, sure I can try