Mathematics
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OpenStudy (lena772):
Implicit differentiation and graphs
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OpenStudy (lena772):
ganeshie8 (ganeshie8):
\(y = \sin x \)
differentiate w.r.t \(t\)
ganeshie8 (ganeshie8):
\(y = \sin x \)
differentiate w.r.t \(t\)
\(y' = \cos x ~ x'\)
ganeshie8 (ganeshie8):
you're given \(x' = 2\)
plug it
ganeshie8 (ganeshie8):
\(y' = 2 \cos~ x\)
fine ?
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OpenStudy (lena772):
Yes
OpenStudy (lena772):
y'=2cos(pi/6)?
OpenStudy (lena772):
@ganeshie8
ganeshie8 (ganeshie8):
yes thats for a
OpenStudy (lena772):
Do i have to solve?
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ganeshie8 (ganeshie8):
yes ofc u have to simplify it
ganeshie8 (ganeshie8):
y'=2cos(pi/6)
= 2*sqrt(3)/2
= sqrt(3)
ganeshie8 (ganeshie8):
similarly find b and c
ganeshie8 (ganeshie8):
for b:-
y'=2cos(x)
y'=2cos(pi/4)
= 2*1/sqrt(2)
=sqrt(2)
ganeshie8 (ganeshie8):
id let u work c :)
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OpenStudy (lena772):
OK I will can i ask you a question
ganeshie8 (ganeshie8):
and yes, u need to remember those trig values
ganeshie8 (ganeshie8):
go ahead ask :)
OpenStudy (lena772):
how did you know it was equal to 2 sqrt 3/2
OpenStudy (lena772):
I just got a big decimal
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ganeshie8 (ganeshie8):
good question :)
i just memorized them
ganeshie8 (ganeshie8):
we need to memorize few trig values before coming to calculus premisis
OpenStudy (lena772):
lol alright now i know why. i never took trig :P
OpenStudy (lena772):
I didn't know i needed it until after my drop/add period so i could not withdraw
ganeshie8 (ganeshie8):
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