Find the slope of the curve y = 2x3 - 8x2 + 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 = 2x3 - 8x2 + 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 = 2x3 - 8x2 + 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 = 6x2 - 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 = 2x3 - 8x2 + 1 at the point (2,-15) is equal to 4.
Math worksheets and
visual curriculum
visual curriculum