Crazy calculus!

Calculus Level 2

$\large x^{p}y^{q}=(x+y)^{p+q}$

If the above equation holds true for some reals $x$ , $y$ , $p$ and $q$ , then what is true about $\dfrac {dy}{dx}$ ?

It is independent of

q

but dependent on

p

It is independent of

p

and

q

It is dependent on both

p

and

q

It is independent of

p

but dependent on

q

1 solution

Jatin Chanchlani
Jul 7, 2016

Nice work for the community by writting such systematic solution

Mann Shah - 4 years, 11 months ago

Also. The differentiation of homogenous function always give y/x as answer. If degree of equation as odd.

Pradeep Singh - 4 years, 8 months ago