Find the derivative of the function. {:[s(x)=x(x^(2)-(3)/(x))],[s^(')(x)=?]:}

Simplify function s(x): Simplify the function s(x) before taking the derivative. s(x) = x(x^2 - 3/x) To simplify, distribute the x across the terms inside the parentheses. s(x) = x^3 - 3Distribute x and simplify: Take the derivative of the simplified function s(x) = x^3 - 3. The derivative of x^3 with respect to x is 3x^2, and the derivative of a constant is 0. s'(x) = d/dx(x^3) - d/dx(3) s'(x) = 3x^2 - 0 s'(x) = 3x^2

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Find the derivative of the function. $\newline$ $s(x) = x(x^2 - \frac{3}{x})$ , $s'(x) = ?$

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Q. Find the derivative of the function.

\newline

s(x) = x(x^2 - \frac{3}{x})

s'(x) = ?

Simplify function $s(x)$ : Simplify the function $s(x)$ before taking the derivative. $\newline$ $s(x) = x(x^2 - \frac{3}{x})$ $\newline$ To simplify, distribute the $x$ across the terms inside the parentheses. $\newline$ $s(x) = x^3 - 3$
Distribute $x$ and simplify: Take the derivative of the simplified function $s(x) = x^3 - 3$ . The derivative of $x^3$ with respect to $x$ is $3x^2$ , and the derivative of a constant is $0$ . $s'(x) = \frac{d}{dx}(x^3) - \frac{d}{dx}(3)$ $s'(x) = 3x^2 - 0$ $s'(x) = 3x^2$