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

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

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

Answer

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)