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Question
find $\frac{d}{dx}x^{6}$. $\frac{d}{dx}x^{6}=$
Step1: Apply power - rule for differentiation
The power - rule states that if $y = x^n$, then $\frac{dy}{dx}=nx^{n - 1}$. Here $n = 6$.
$\frac{d}{dx}x^{6}=6x^{6 - 1}$
Step2: Simplify the exponent
$6x^{6 - 1}=6x^{5}$
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$6x^{5}$