Math, asked by Jiya22, 1 year ago

Find dy/dx if x^1/2+y^1/2=a^1/2


Anonymous: Mark my ans as brainlist if u found it quite helpful
Jiya22: Sure!!

Answers

Answered by Anonymous
16

Heya!

+ =

DIFFERENTIATE ON BOTH SIDE'S W.R.T x WE HAVE

(1/2) x½-¹ + (1/2) y½-¹ × dy/dx = 0

x-½ + y-½ dy/dx = 0

y-½ × dy/dx = - x-½

y-½ dy/dx = -1/x

dy/dx =( -1/x ) ×

dy/dx = -y/x


Jiya22: Oohhkk
Jiya22: Can u explain the last step.. how do you get -√y/√x?
Anonymous: Fine..... y-½ dy/dx = - x-½ ... y-½ dy/dx = -1/ ( x½)
Anonymous: y-½ dy/dx = -1/√x
Anonymous: dy/dx =- y½/√x
Jiya22: Oh ryt.. tysm:)
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