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

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

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

Answer

Explanation:

Step1: Apply power - rule

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

Step2: Calculate the derivative

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

Answer:

$10x^{9}$