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Mathematics 22 Online
OpenStudy (lena772):

Implicit differentiation and graphs

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 ?

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?

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 :)

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

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):

|dw:1385973248772:dw|

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