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dezoksy [38]
2 years ago
7

Find the gradient of the curve y=-x^-3-5x^2+7x at x=2​

Mathematics
1 answer:
Harman [31]2 years ago
5 0

-8

Step-by-step explanation:

The gradient or slope of a curve y is simply the derivative of the curve at a point x. So we can proceed as follows

\dfrac{dy}{dx} = \dfrac{d}{dx}(x^3 -5x^2 +7) = 3x^2 -10x

Evaluated at x = 2, the gradient of the slope is

\left.\dfrac{dy}{dx}\right|_{x=2} = 3(2)^2 - 10(2) = -8

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