The power rule states that if \( y = x^n \), then the derivative of \( y \) with respect to \( x \) is \( \frac{{dy}}{{dx}} = n \cdot x^{n-1} \).
Applying the power rule to \( y = x^{50} \), we find that the first derivative is \( \frac{{dy}}{{dx}} = 50 \cdot
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