🎓 Academic Mga calculus wiz dyan... help naman :)

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DuctTapePro

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paano na differentiate tong

y(x) = sin x
sa
dy/dx = cos x?
if (delta x) = 0


ang alam ko lang ay yung

y(x) = x^2
sa
dy/dx = 2x

ganito lang ginawa ko lang...

(delta y) / (delta x) = [x^2 + 2t(delta x) + (delta x)^2 - x^2] / [delta x] = 2x
if (delta x) = 0

kaya ko na kuha...


pero dun sa unang problem.. gumamit ako ng trig identities di ko parin mkuha hehe
 
ganito yata yan:

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kung panu sya naging ganyan. narito po ang derivation nya using the definition of derivatives in relation to limits:
ito po proof nya

upload_2018-5-29_18-8-52.png
 
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