$P \, (a,b)$ is a point on the curve $y=-x(x+2)^2$ and the gradient of the tangent to the curve

Question

$P \, (a,b)$ 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

Video Solution:

Solution:

Solution locked