Determine the second derivative of the function $f(x) = 3x^3 - 2x^2 + 4x$.

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∻Solution by Steps∻ ‖ step 1 ⋮ To find the second derivative of the function $ f(x) = 3x^3 - 2x^2 + 4x $, we first differentiate $ f(x) $ with respect to $ x $ to get $ f'(x) $. ‖ ‖ step 2 ⋮ Differentiating $ f(x) $ gives us $ f'(x) = 9x^2 - 4x + 4 $. ‖ ‖ step 3 ⋮ We then differentiate $ f'(x) $ to get the second derivative $ f''(x) $. ‖ ‖ step 4 ⋮ Differentiating $ f'(x) $ gives us $ f''(x) = 18x - 4 $. ‖ ∻Answer∻ ⚹ The second derivative of the function $ f(x) = 3x^3 - 2x^2 + 4x $ is $ f''(x) = 18x - 4 $. ⚹ ∻Key Concept∻ ⚹Second Derivative⚹ ∻Explanation∻ ⚹The second derivative of a function is the derivative of the derivative, which provides information about the curvature of the function's graph.⚹◊What is the formula for finding the second derivative of a function in calculus?⍭ Generate me a similar question◊

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