find $\frac{d}{dx}x^{5}$. $\frac{d}{dx}x^{5}=square$

Explanation:

Step1: Apply power - rule for differentiation

The power - rule states that if $y = x^n$, then $\frac{dy}{dx}=nx^{n - 1}$. Here $n = 5$. $\frac{d}{dx}x^n=nx^{n - 1}$

Step2: Substitute $n = 5$ into the formula

When $n = 5$, we have $\frac{d}{dx}x^5=5x^{5 - 1}=5x^4$

Answer:

$5x^4$