To find the gradient of the curve at a specific point, we need to find the derivative of the equation with respect to \(x\) and then evaluate it at the given point.
Given the equation \(y = 3x^2\), let's find the derivative \(dy/dx\):
\[ \frac{dy}{dx} = 6x \]
Now, evaluate the derivative at the point \((2, 12)\):
\[ \frac{dy}{dx} \Big|_{x=2} = 6 \times 2 = 12 \]
So, the gradient of the curve \(y = 3x^2\) at the point (2, 12) is 12.
