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Mathematics 18 Online
OpenStudy (anonymous):

@gorv (:

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

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??

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)

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??

OpenStudy (anonymous):

0

OpenStudy (gorv):

so dv/dx=????

OpenStudy (anonymous):

-2x/9 right?

OpenStudy (gorv):

loll

OpenStudy (gorv):

d(-x^2-9)=??

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?

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

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

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)

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

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

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)

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?

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)

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

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

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

OpenStudy (anonymous):

\((-100 + 10) \times (10) + (-25-9)\)

OpenStudy (anonymous):

-90 * 10 + 34

OpenStudy (anonymous):

Wait..

OpenStudy (anonymous):

-866

OpenStudy (anonymous):

\((-90 \times 10) + (-34)\) = ??

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

OpenStudy (anonymous):

-934

OpenStudy (anonymous):

@waterineyes

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