$P\left( a,b \right)$ is a point on the curve $y=-x{{(x+2)}^{2}}$ and the gradient of the tangen

Question

$P\left( a,b \right)$ is a point on the curve $y=-x{{(x+2)}^{2}}$ and the gradient of the tangent to the curve at $P$ is $1$. Given that $a$ and $b$ are integers, find the coordinates of $P$.

Accepted Answer

$P=(-1,1)$.

Applications of Differentiation - Derivative as the Gradient of a Curve

Applications of Differentiation - Derivative as the Gradient of a Curve

Solution:

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