Mathematics
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OpenStudy (anonymous):
@gorv (:
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OpenStudy (anonymous):
OpenStudy (gorv):
product rule u need to apply
OpenStudy (gorv):
\[\frac{ d(u*v) }{ dx }=u*\frac{ dv }{ dx }+v*\frac{ du }{ dx }\]
OpenStudy (gorv):
can u do that
OpenStudy (anonymous):
yess
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OpenStudy (gorv):
show me your work than
OpenStudy (anonymous):
wait what would be u?
OpenStudy (gorv):
u can take any of the two u it is you choice
OpenStudy (gorv):
(-4x^2-2x) u can take it as u or v
OpenStudy (anonymous):
im stuck, canyou explain this for me??
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OpenStudy (gorv):
let u=(-4x^2-2x)
v=(-x^2-9)
OpenStudy (gorv):
u*dv/dx
OpenStudy (gorv):
what will be derivative of v
OpenStudy (anonymous):
2-9-x
OpenStudy (gorv):
ok split it
derivative of (-x^2)
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OpenStudy (anonymous):
2-x
OpenStudy (gorv):
it is negative sign
OpenStudy (gorv):
it will be -2x
OpenStudy (anonymous):
ohh ok gotcha
OpenStudy (gorv):
and derivative of 9??
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OpenStudy (anonymous):
0
OpenStudy (gorv):
so dv/dx=????
OpenStudy (anonymous):
-2x/9 right?
OpenStudy (gorv):
loll
OpenStudy (gorv):
d(-x^2-9)=??
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OpenStudy (gorv):
how u bring 9 to divison??
OpenStudy (gorv):
just put the derivative of -x^2 and 9 in their place
OpenStudy (anonymous):
2-9-x
OpenStudy (gorv):
can u xplain how u got it ??
OpenStudy (anonymous):
i got the derivative? isnt that what youre asking?
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OpenStudy (gorv):
d(-x^2-9)=d(-x^2)-d(9)
OpenStudy (gorv):
now can u tell ??
OpenStudy (anonymous):
ohh i was doing something else
OpenStudy (anonymous):
oops now i know what you were asking
OpenStudy (gorv):
yeah tell me what u got
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OpenStudy (anonymous):
i dont know
OpenStudy (gorv):
what we got for (-x^2)
OpenStudy (gorv):
hmm take minus sign out
-(derivative of x^2)=- ???
OpenStudy (gorv):
@mondona
OpenStudy (anonymous):
2x
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OpenStudy (gorv):
yeah
so derivative of (-x^2-9)=-(derivative of x^2)- (derivative of 9)=-2x-(derivative of 9)
OpenStudy (gorv):
derivative of 9 =??
OpenStudy (anonymous):
9 is 0
OpenStudy (gorv):
dv/dx=-2x-0=-2x
OpenStudy (gorv):
u*dv/dx=(-4x^2-2x)*(-2x)
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OpenStudy (gorv):
now second one
OpenStudy (gorv):
v*du/dx
OpenStudy (gorv):
derivative of(-4x^2-2x)= - derivative(4x^2)-derivative (2x)
can u do this
OpenStudy (anonymous):
4x^2 is 2 4x
OpenStudy (anonymous):
2x is 1
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OpenStudy (gorv):
2 wiil be multiplied lol
OpenStudy (anonymous):
8x
OpenStudy (gorv):
d(4x^2)=2*4*x=8x
OpenStudy (gorv):
yeah remember it
OpenStudy (gorv):
ans 2x=2*x so its derivative = 2*1=2
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OpenStudy (gorv):
canu do it now
OpenStudy (gorv):
du/dx=(-8x-2)
OpenStudy (anonymous):
i just plug in -5?
OpenStudy (gorv):
v*du/dx=(-x^2-9)(-8x-2)
OpenStudy (gorv):
u*dv/dx+v*du/dx=(-4x^2-2x)*(-2x)+(-x^2-9)
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OpenStudy (gorv):
plug in -5 in this
(-4x^2-2x)*(-2x)+(-x^2-9)
OpenStudy (anonymous):
i got 4116...
OpenStudy (anonymous):
Still angry with me?
OpenStudy (anonymous):
Firstly delete unnecessary comments.. Save some OS space.. :)
OpenStudy (anonymous):
So, honestly tell me, upto which point you are clear?
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OpenStudy (anonymous):
i want to know if i pluged it in correctly, i got a really big number
OpenStudy (anonymous):
Wait, I check it...
OpenStudy (anonymous):
okk
OpenStudy (anonymous):
There is mistake somewhere in plugging.. :)
Can you show me, how you plugged?
OpenStudy (anonymous):
(-4(-5)^2-2(-5))*(-2(-5))+(-(-5)^2-9)
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OpenStudy (anonymous):
That is really great..
Write the next step you did..
OpenStudy (anonymous):
-2192
OpenStudy (anonymous):
NO..
OpenStudy (anonymous):
\((-4(-5)^2-2(-5)) \times (-2(-5))+(-(-5)^2-9)\)
Go one by one: \(-(4(-5)^2 = ??\)
OpenStudy (anonymous):
400
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OpenStudy (anonymous):
Here is the problem you got: Reduce it further: Tell me : \((-5)^2 = ??\)
OpenStudy (anonymous):
25
OpenStudy (anonymous):
\(-4(25) = ??\)
OpenStudy (anonymous):
Or you can more simplify it as : \(-(25 + 25 + 25 + 25) = ??\)
OpenStudy (anonymous):
-100
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OpenStudy (anonymous):
Good..
OpenStudy (anonymous):
\((-4(-5)^2-2(-5)) \times (-2(-5))+(-(-5)^2-9)\)
\((-100-2(-5)) \times (-2(-5))+(-(-5)^2-9)\)
\(-2(-5) = ??\)
OpenStudy (anonymous):
10
OpenStudy (anonymous):
Going good..
\(-(-5)^2 = ??\)
OpenStudy (anonymous):
-25
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OpenStudy (anonymous):
\((-100 + 10) \times (10) + (-25-9)\)
OpenStudy (anonymous):
-90 * 10 + 34
OpenStudy (anonymous):
Wait..
OpenStudy (anonymous):
-866
OpenStudy (anonymous):
\((-90 \times 10) + (-34)\) = ??
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OpenStudy (anonymous):
How you got \(+34\) ??
OpenStudy (anonymous):
They will add but sign will be negative only.. :)
OpenStudy (anonymous):
Not getting?
OpenStudy (anonymous):
sorry computer shut off
OpenStudy (anonymous):
-34
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OpenStudy (anonymous):
-934
OpenStudy (anonymous):
@waterineyes