AP Calculus AB Exam Question:

Find the derivative of the function

Step-by-Step Solution:

To find the derivative of the given function, we can use the power rule of differentiation. According to the power rule, if we have a function of the form $f(x) = ax^n$, where $a$ and $n$ are constants, then the derivative of $f(x)$ with respect to $x$ is $f'(x) = anx^{n-1}$.

So, applying the power rule, let's find the derivative of $f(x)$:

Using the power rule, we differentiate each term separately:

Applying the power rule to each term:

Therefore, the derivative of the function $f(x) = 3x^2 - 2x + 4$ is $f'(x) = 6x - 2$.