Differentiate y = 15x^3 + 24x^2 + 6 with respect to x.

To differentiate y with respect to x, you have to multiply each x term by their respective power and then decrease their power by one. For example, 4x² differentiated is 2 x 4x^2-1 = 8x. So, splitting this problem into parts, 15x³ differentiated is 3 x 15x^3-1 = 45x², and 24x² differentiated is 48x. 6 doesn't involve x so it cannot be differentiated with respect to it. Hence, dy/dx = 45x² + 48x.