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y=x^(13)

(dy)/(dx)=

$y=x^{13}$ $\newline$ $\frac{d y}{d x}=$

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Csc, sec, and cot of special angles

Full solution

Q.

y=x^{13}

\newline

\frac{d y}{d x}=

Apply Power Rule: To find the derivative of $y$ with respect to $x$ , we will use the power rule for differentiation. The power rule states that if $y = x^n$ , then the derivative $\frac{dy}{dx}$ is $n \cdot x^{(n-1)}$ .
Calculate Derivative: Applying the power rule to $y = x^{13}$ , we get $\frac{dy}{dx} = 13 \cdot x^{13-1} = 13 \cdot x^{12}$ .
Final Result: There are no further simplifications needed, so we have found the derivative.

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