Question

Find the first derivative of x^2+y^2=25​

Answer 1

Answer:

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

Step-by-step explanation:

Use implicit differentiation:

$x^2+y^2=25\\\\2x+2y\frac{dy}{dx}=0\\ \\2y\frac{dy}{dx}=-2x\\ \\\frac{dy}{dx}=-\frac{x}{y}$

Remember to treat "y" as a constant in implicit differentiation and include dy/dx.