Find the stationary points of the function y = 4x3 + 9x2 − 30x + 10.

Here are the solutions for parts 2a and 2b.

Part 2a: $y = 4x^3 + 9x^2 - 30x + 10$

Step 1: Find the first derivative.

$$\frac{dy}{dx} = \frac{d}{dx}(4x^3 + 9x^2 - 30x + 10) = 12x^2 + 18x - 30$$

Step 2: Find the x-coordinates of the stationary points by setting the first derivative to zero.

$$12x^2 + 18x - 30 = 0$$

Divide by 6:

$$$$