# Find the slope of the curve y = 2x^{3} - 8x^{2} + 1 at the point (2,-15)

We will use the concept of differentiation in order to find the slope of the curve at the given point.

## Answer: The slope of the curve y = 2x^{3} - 8x^{2} + 1 at the point (2,-15) is equal to -8.

Let us see how we will use the concept of differentiation in order to find the slope of the curve at the given point.

**Explanation**:

We have been given the curve that is y = 2x^{3} - 8x^{2} + 1

In order to find the slope of the curve at the point (2, -15) we have to find dy / dx of the curve at that point.

Hence, on differentiating the curve on both sides with respect to x we get,

dy/dx = 6x^{2} - 16x

Now substituting the values (2, -15) in the equation of dy/dx we get the slope of the curve at the given point which is equal to -8.

### Hence, the slope of the curve y = 2x^{3} - 8x^{2} + 1 at the point (2,-15) is equal to 4.

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