Question

What is the slope of the line tangent to the graph of `x^2xy+y^2=7`?

Answer 1

Slope= `(-3x^2 y)/(2y+x^3)`

Explanation:

Differentiating the equation, it is `x^3 dy/dx +3x^2 y +2y dy/dx=0`

`(x^3 +2y)dy/dx= -3x^2y`

`dy/dx= (-3x^2 y)/ (2y+x^3)`