Let h(x)=x^(-11). h^(')(x)=

Identify function: Identify the function to differentiate. h(x) = x^(-11) We need to find the derivative of h(x) with respect to x, denoted as h'(x).Apply power rule: Apply the power rule for differentiation. The power rule states that the derivative of x^n with respect to x is n*x^(n-1). h'(x) = d/dx [x^(-11)] = -11 * x^(-11 - 1)Simplify expression: Simplify the expression. h'(x) = -11 * x^(-12) This is the derivative of h(x) in its simplest form.

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Let $h(x)=x^{-11}$ . $\newline$ $h^{\prime}(x)=$

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Algebra 2

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

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Q. Let

h(x)=x^{-11}

\newline

h^{\prime}(x)=

Identify function: Identify the function to differentiate. $\newline$ $h(x) = x^{-11}$ $\newline$ We need to find the derivative of $h(x)$ with respect to $x$ , denoted as $h'(x)$ .
Apply power rule: Apply the power rule for differentiation. $\newline$ The power rule states that the derivative of $x^n$ with respect to $x$ is $n\cdot x^{(n-1)}$ . $\newline$ $h'(x) = \frac{d}{dx} [x^{-11}] = -11 \cdot x^{(-11 - 1)}$
Simplify expression: Simplify the expression. $h'(x) = -11 \cdot x^{-12}$ This is the derivative of $h(x)$ in its simplest form.