Mathematics
11 Online
OpenStudy (lena772):
Calculus time. LOL
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OpenStudy (lena772):
ganeshie8 (ganeshie8):
implicit differentiation
OpenStudy (lena772):
yes
OpenStudy (lena772):
aka chinese
ganeshie8 (ganeshie8):
\(x^2 + y^2 = 25\)
differentiate w.r.t \(t\)
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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
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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
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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
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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 ^ :)
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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
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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;)