### Math Notes

Subjects

#### Differential Calculus Solutions

##### Topics || Problems

Find the slope of the curve $$x^2 +y^2 = 25$$ at (3,4).

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

$$2xdx + 2ydy = 0$$

At $$(3,4)$$, $$2(3)dx + 2(4)dy = 0$$

$$6dx + 8dy = 0$$

$$8dy = -6dx$$

$$\frac{dy}{dx} = \frac{-3}{4}$$