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Calculus is a branch of mathematics that studies how things change. It is divided into two main parts: differentiation, which deals with rates of change and slopes of curves, and integration, which deals with accumulating quantities and areas under curves. The process of finding derivatives is part of differentiation, and is fundamental to calculus.

For students starting out, understanding the principle behind derivatives is crucial. When we speak about the derivative of a function at a point, we're talking about the function's instantaneous rate of change at that particular point. This concept is akin to figuring out how quickly a car is moving at a specific instant if its speed was varying. In the given exercise, calculating the derivative of a simple linear function like f(x) = 2x + 3 is an introductory step into this immersive world of calculus.

In calculus, differentiating linear functions is one of the most straightforward tasks due to their simplicity. A linear function is of the form f(x) = mx + b, where m and b are constants, and x is the variable. When you differentiate a linear function, you're looking for the function that represents the slope of the original function.

In the context of our exercise, the linear function is f(x) = 2x + 3. When differentiating, we are basically finding what value the slope of this line takes at any point 'x'. Because the slope of a line is constant, the derivative of a linear function is simply the coefficient of 'x', which in this case is 2. This is helpful in many practical problems such as finding the velocity of an object when you're given its position as a linear function of time.

The power rule is a basic yet powerful tool in differentiation. It states that if you have a function of the form f(x) = x^n, where n is any real number, the derivative of that function, f'(x), is nx^(n-1). It simplifies the process of finding derivatives when dealing with polynomial functions.

In our given exercise, for the term 2x, it appears to follow the power rule with n equal to 1, so the derivative becomes 1*2x^(1-1) which simplifies to 2, as x^0 equals 1 for any x that is not zero. Additionally, the derivative of the constant term, plus 3, is zero because constants do not change and therefore have no rate of change. Remembering this rule saves time and effort when differentiating more complex polynomials.