Question

xy=c^2 then dy /dx=? ....please answer in full ......

Answer 1

By using above method, it can be solved by this way.

Answer 2

Answer:

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

Step-by-step explanation:

We have been given the equation

$xy=c^2$

Differentiate with respect to x, we get

$x\cdot\frac{dy}{dx}+y=0\\\\x\cdot\frac{dy}{dx}= -y\\\\\frac{dy}{dx}=-\frac{y}{x}$

Therefore, the value of dy/dx is

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