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Differentiation Exercise Solution #2

Consider the function \( f(x) = 3x^4 - 4x^3 + x - 2 \).

To find the derivative, apply the power rule: \( f'(x) = \frac{d}{dx}[3x^4] - \frac{d}{dx}[4x^3] + \frac{d}{dx}[x] - \frac{d}{dx}[2] \).

Thus, the solution is:

\( f'(x) = 12x^3 - 12x^2 + 1 \)