Question

solve this simple calculus problem​

Answer 1

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Answer 2

Answer:

Otherwise apply Euler's theorem.

It states that if u(x,y) is a homogeneous function of degree n of two variables x and y , then

x.∆u/∆x+y.∆u/∆y=nu

where ∆u/∆x=partial derivative of u w.r.t x

and ∆u/∆y=partial derivative of u w.r.t y

In the above problem , u is a homogenous function of degree n .

So, x.∆u/∆x+y.∆u/∆y=nu=3u.