A curve has equation y = x²(x - 2) Work out the gradient of the curve at the point (3,9).

Mathematics

1 answer:

slava [35]2 years ago

4 0

Answer:

y = x^2 (x - 2) = x^3 - 2 x^2

dy/dx = 3 x^2 - 4 x

At x = 3 dy/dx = 3 * 9 - 4 * 3 = 15 The slope (gradient) of the curve

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