If $f(x) = \frac{3x^2 - 1}{x}$, find $f'(x)$.

Question

Accepted Answer

$3 + \frac{1}{x^2}$. Simplify first: f(x) = 3x - x⁻¹. Differentiating gives f'(x) = 3 + x⁻² = 3 + 1/x². Option B arises from a sign error when differentiating -x⁻¹, while C results from not simplifying before differentiating and applying the quotient rule incorrectly.

Answer

A) $3 + \frac{1}{x^2}$

Answer

B) $3 - \frac{1}{x^2}$

Answer

C) $6x - \frac{1}{x^2}$

Answer

D) $3x - \frac{1}{x}$

If $f(x) = \frac{3x^2 - 1}{x}$, find $f'(x)$.

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