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 steps 2, 3, and 4, we get the derivative of the function $f(x)$: $f'(x) = 2x + 3$. ‖ ∻Answer∻ ⚹ $f'(x) = 2x + 3$ ⚹ ∻Key Concept∻ ⚹Differentiation of Polynomials⚹ ∻Explanation∻ ⚹The derivative of a polynomial function is found by applying the power rule to each term, which states that the derivative of $x^n$ is $nx^{n-1}$. Constants differentiate to zero.⚹◊What is the derivative of $f(x) = x^n$ using the power rule in calculus?⍭ Generate me a similar question◊

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