y = x^{10} \\frac{dy}{dx}=

$y = x^{10} \\frac{dy}{dx}=$

y = x^{10}
\frac{dy}{dx}=

The power - rule for differentiation states that if $y = x^n$, then $\frac{dy}{dx}=nx^{n - 1}$. Here $n = 10$.

Substitute $n = 10$ into the power - rule formula. So $\frac{dy}{dx}=10x^{10 - 1}=10x^{9}$.

$10x^{9}$