### Math Notes

Subjects

#### Differential Calculus Solutions

##### Topics || Problems

Find the slope of the curve $$x^2 +xy +y^2 =3$$ and $$(1, 1)$$

Slope = $$\frac{dy}{dx}$$

$$2xdx + xdy +ydx +2ydy = 0$$

$$2(1)dx + (1)dy + (1)dx +2(1)dy = 0$$

$$3dx + 3 dy = 0$$

$$dy = -dx$$

$$\frac{dy}{dx} = -1$$