Final answer:
To find the derivative of the function Y = x² + 2π, you apply the power rule to x², resulting in a derivative of 2x, as the constant 2π has a derivative of zero.
Step-by-step explanation:
The student has asked how to derive the function Y = x² + 2π.
When we talk about deriving a function in mathematics, we're referring to finding its derivative, which gives us the rate at which the function is changing at any point x.
For the given function, since 2π is a constant, its derivative will be zero, and the derivative of x² is 2x according to the power rule of derivatives.
Therefore, the derivative of the function Y with respect to x is 2x.