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what is the derivative of x^n? (n - 1)x^n (n + 1)x^{n - 1} nx^{n - 1} n…

Question

what is the derivative of x^n? (n - 1)x^n (n + 1)x^{n - 1} nx^{n - 1} nx^{n + 1}

Explanation:

Step1: Apply power rule

The power rule for differentiation states that if \( y = x^n \), then \( y^\prime=\frac{d}{dx}(x^n)=nx^{n - 1}\).

Answer:

\(nx^{n-1}\) (the third option)