# Find the slope of the curve at the indicated point. Let us consider the curve as x^{2} + y^{3} = 4 and the indicated point is (2, 5).

We will use the concept of differentiation to find the slope of the curve.

## Answer: -4/75, is the slope of the curve x^{2} + y^{3} = 4 at the indicated point is (2, 5).

Let us see how we will use the concept of differentiation to find the slope of the curve.

**Explanation**:

We have been given the curve x^{2} + y^{3} = 4. In order to find the curve, we have to find the dy/dx for the curve and then substitute the point (2, 5) in the expression of dy/dx.

Let us find dy/dx.

On differentiating on both sides of the curve x^{2} + y^{3} = 4 we get,

dy/dx = -2x/3y^{2}

On substituting x = 2 and y = 5 in the above expression we get.

dy/dx = (-2 × 2) / (3 × 5 × 5) = -4/75