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Mathematics 11 Online
OpenStudy (lena772):

Calculus time. LOL

OpenStudy (lena772):

ganeshie8 (ganeshie8):

implicit differentiation

OpenStudy (lena772):

yes

OpenStudy (lena772):

aka chinese

ganeshie8 (ganeshie8):

\(x^2 + y^2 = 25\) differentiate w.r.t \(t\)

OpenStudy (lena772):

y'(x)=-(x/y)

ganeshie8 (ganeshie8):

from where u pulled that thing :o

ganeshie8 (ganeshie8):

2xx' + 2yy' = 0 right ?

OpenStudy (lena772):

yes

ganeshie8 (ganeshie8):

you're given, x' = 8

ganeshie8 (ganeshie8):

you're asked to find y'

ganeshie8 (ganeshie8):

at x=3, y = 4

ganeshie8 (ganeshie8):

plug x, y, x' values above and solve y'

OpenStudy (lena772):

ok i'll try

ganeshie8 (ganeshie8):

okie

OpenStudy (lena772):

2xx' + 2yy' = 0 2*3*8+2*4*y'=0 2*3*8+2*4=-y' 48+8=-y' 56=-y' -56=y'

ganeshie8 (ganeshie8):

2xx' + 2yy' = 0 2*3*8+2*4*y'=0 2*3*8+2*4=-y' ******************** 48+8=-y' 56=-y' -56=y'

ganeshie8 (ganeshie8):

mistake !

OpenStudy (lena772):

Ah alright, I figured that

OpenStudy (lena772):

can i try one more time

ganeshie8 (ganeshie8):

sure girly :)

OpenStudy (lena772):

2xx' + 2yy' = 0 2*3*8+2*4*y'=0 48+8y'=0 8y'=-48 y'=6

OpenStudy (lena772):

y'=-6**

ganeshie8 (ganeshie8):

y' = -6

OpenStudy (lena772):

yea ^ :)

ganeshie8 (ganeshie8):

yes !

ganeshie8 (ganeshie8):

try b same way

OpenStudy (lena772):

Ok ! 2xx'+2yy'=0 2*4*x'+2*3*-2=0 8x'+-12=0 8x'-12=0 8x'=12 x'=1.5

ganeshie8 (ganeshie8):

\(\large \color{red}{\checkmark}\)

OpenStudy (lena772):

I love you lol

ganeshie8 (ganeshie8):

aww ty lol :3

OpenStudy (lena772):

you just make everything so simple :')

ganeshie8 (ganeshie8):

no, your antennas are too sharp to learn things very quickly... keep them active always lol;)

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