There are two points on the curve $y=\sqrt[3]{4x^3+9x^2-12x}$ at which the tangents are perpendicu

Question

There are two points on the curve $y=\sqrt[3]{4x^3+9x^2-12x}$ at which the tangents are perpendicular to the line x=7. Calculate the $x$–coordinates of these points.

Accepted Answer

$x=-2$ and $x=\frac12$

Differentiation - Tangents and Normals Parallel to the Axes

Differentiation - Tangents and Normals Parallel to the Axes

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Default solution