Find the minimum gradient of the curve $y=2x^3-9x^2+5x+3$ and the value of $x$ when the minimum

Question

Find the minimum gradient of the curve $y=2x^3-9x^2+5x+3$ and the value of $x$ when the minimum gradient occurs.

Accepted Answer

Minimum gradient $=-\frac{17}{2}$ when $x=\frac{3}{2}$.

Minimum/Maximum Gradient of a Curve