Question

if x y =10^7 find dy/dx​

Answer 1

Answer:

x dy/dx + y =0

dy/dx = -y/x

Step-by-step explanation:

differentiate of xy = xy' + yx'

so xy = 10^7 (10^7 is constant ) differentiate of constant is zero

x dy/dx + 1(y) = 0

dy/dx = -y/x

Answer 2

Step-by-step explanation:

Given,

$xy={10}^{7}$

differentiating:

$\frac{dy}{dx}(xy)=\frac{dy}{dx}{10}^{7}$

$\frac{dy}{dx}(x)y+x\frac{dy}{dx}(y)=0$

$y+x\frac{dy}{dx}(y)=0$

$x\frac{dy}{dx}=-y$

$\frac{dy}{dx}=\frac{-y}{x}$