Question

if √x + √y = √10, show that dy/dx +√y/x = 0​

Answer 1

Answer:

Your answer attached in the photo

Answer 2

Answer:

Proved below.

Step-by-step explanation:

Given

√x + √y = √10

⇒d(√x + √y)/dx = d(√10)/dx

We know that

d/dx(√x) = 1/(2√x)

d/dx(constant) = 0

⇒d(√x)/dx + d(√y)/dx = 0

⇒1 /(2√x)+ 1/(2√y)*dy/dx = 0

⇒1/(2√y)*dy/dx = - 1 /(2√x)

⇒dy/dx = - (2√y)/(2√x)

⇒dy/dx = - √y/√x

∴dy/dx + √y/√x = 0

HENCE PROVED