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 the constant $5$ with respect to $x$ is $0$. ‖ ‖ step 5 ⋮ Combining the derivatives from the previous steps, we get the derivative of the function: $f'(x) = 2x + 3$. ‖ ∻Answer∻ ⚹ $f'(x) = 2x + 3$ ⚹ ∻Key Concept∻ ⚹Power Rule for Differentiation⚹ ∻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 $f(x) = x^2 + 3x + 5$ gives us the derivative $f'(x) = 2x + 3$.⚹◊What is the general formula for finding the derivative of a polynomial function in calculus?⍭ Generate me a similar question◊

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