Question

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

Answer 1

`(dy)/(dx)=-(x)/(y)`

Explanation:

Use implicit differentiation:

`x^2+y^2=25\\\\2x+2y(dy)/(dx)=0\\ \\2y(dy)/(dx)=-2x\\ \\(dy)/(dx)=-(x)/(y)`

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