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Mathematics 22 Online
OpenStudy (anonymous):

help!

OpenStudy (anonymous):

@sourwing

OpenStudy (anonymous):

@myininaya its still disconnecting

myininaya (myininaya):

What do you mean?

OpenStudy (anonymous):

i put up this question a second ago, and it showed that you were responding but i couldnt see anything... i dont know whats going on with openstudy lately

OpenStudy (anonymous):

could you explain this question please? (:

myininaya (myininaya):

\[V = x^2h \] V,x, and h are all functions of time Can you differentiate V=x^2h w.r.t t?

OpenStudy (anonymous):

2hx

OpenStudy (anonymous):

@myininaya

myininaya (myininaya):

\[\frac{d x^2}{dt}=2xx'\] You are going to have to use product rule to find the derivatie of (x^2h) w.r.t t.

myininaya (myininaya):

\[\frac{dV}{dt}=\frac{d(x^2h)}{dt} \\ \frac{dV}{dt}=x^2 \frac{d h}{dt}+h \frac{d x^2}{dt}\]

myininaya (myininaya):

by product rule

myininaya (myininaya):

now you already know the derivative of x^2 w.r.t t

myininaya (myininaya):

now just plug in your values

OpenStudy (anonymous):

okk

OpenStudy (anonymous):

i was right about 192 right?

myininaya (myininaya):

yes but not sure how you got it with 2xh

OpenStudy (anonymous):

i got increasing at 192 but i thought i was wrong haha thats why i tried a different approach

myininaya (myininaya):

lol well it looks like the different approach worked

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