Let g(x)=x^(-12). g^(')(x)=

Identify Function: Given the function g(x) = x^(-12), we need to find its derivative g^(')(x). To do this, we will use the power rule for differentiation, which states that the derivative of x^n with respect to x is n*x^(n-1).Apply Power Rule: Applying the power rule to g(x) = x^(-12), we differentiate as follows: g^(')(x) = (-12)*x^(-12-1) g^(')(x) = (-12)*x^(-13)Calculate Derivative: We have found the derivative of g(x) without making any mathematical errors. The derivative g^(')(x) is in its simplest form.

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Let $g(x)=x^{-12}$ . $\newline$ $g^{\prime}(x)=$

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Algebra 2

Evaluate expression when a complex numbers and a variable term is given

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Q. Let

g(x)=x^{-12}

\newline

g^{\prime}(x)=

Identify Function: Given the function $g(x) = x^{-12}$ , we need to find its derivative $g^{\prime}(x)$ . To do this, we will use the power rule for differentiation, which states that the derivative of $x^n$ with respect to $x$ is $n \cdot x^{n-1}$ .
Apply Power Rule: Applying the power rule to $g(x) = x^{-12}$ , we differentiate as follows: $\newline$ $g^{\prime}(x) = (-12)\cdot x^{-12-1}$ $\newline$ $g^{\prime}(x) = (-12)\cdot x^{-13}$
Calculate Derivative: We have found the derivative of $g(x)$ without making any mathematical errors. The derivative $g^{\prime}(x)$ is in its simplest form.