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y=x^(10)

(dy)/(dx)=

$y=x^{10}$ $\newline$ $\frac{d y}{d x}=$

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Csc, sec, and cot of special angles

Full solution

Q.

y=x^{10}

\newline

\frac{d y}{d x}=

Power Rule Explanation: To find the derivative of $y$ with respect to $x$ for the function $y = x^{10}$ , we will use the power rule for differentiation. The power rule states that if $y = x^n$ , then the derivative $\frac{dy}{dx} = n \cdot x^{(n-1)}$ .
Applying Power Rule: Applying the power rule to $y = x^{10}$ , we get $\frac{dy}{dx} = 10 \cdot x^{10-1} = 10 \cdot x^9$ .
Final Derivative: There is no need to simplify further, as $10x^9$ is already in its simplest form.

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