find $\frac{d}{dx}x^{6}$. $\frac{d}{dx}x^{6}=$

find $\frac{d}{dx}x^{6}$. $\frac{d}{dx}x^{6}=$

find $\frac{d}{dx}x^{6}$. $\frac{d}{dx}x^{6}=$

Answer

Explanation:

Step1: Apply power - rule for differentiation

The power - rule states that if $y = x^n$, then $\frac{dy}{dx}=nx^{n - 1}$. Here $n = 6$. $\frac{d}{dx}x^{6}=6x^{6 - 1}$

Step2: Simplify the exponent

$6x^{6 - 1}=6x^{5}$

Answer:

$6x^{5}$