Compute the derivative of the function $f(x) = x^2 + 3x + 5$.

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∻Solution by Steps∻ ‖ step 1 ⋮ To find the derivative of the function $ f(x) = x^2 + 3x + 5 $, we will apply the power rule to each term. ‖ ‖ step 2 ⋮ The derivative of $ x^2 $ with respect to $ x $ is $ 2x $. ‖ ‖ step 3 ⋮ The derivative of $ 3x $ with respect to $ x $ is $ 3 $. ‖ ‖ step 4 ⋮ The derivative of a constant, $ 5 $, with respect to $ x $ is $ 0 $. ‖ ‖ step 5 ⋮ Combining the derivatives from steps 2, 3, and 4, we get $ 2x + 3 + 0 $. ‖ ‖ step 6 ⋮ Simplifying the expression from step 5, we have $ 2x + 3 $. ‖ ∻Answer∻ ⚹ $ \frac{d}{dx}(x^2 + 3x + 5) = 2x + 3 $ ⚹ ∻Key Concept∻ ⚹Differentiation using the power rule⚹ ∻Explanation∻ ⚹The power rule states that the derivative of $ x^n $ with respect to $ x $ is $ nx^{n-1} $. Applying this rule to each term in the function $ f(x) $ gives us the derivative.⚹◊What is the formula for finding the derivative of a quadratic function?⍭ Generate me a similar question◊

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