Question

y = x^7
\frac{dy}{dx}=

Explanation:

Step1: Apply power - rule for differentiation

The power - rule states that if $y = x^n$, then $\frac{dy}{dx}=nx^{n - 1}$. Here $n = 7$.

Step2: Calculate the derivative

$\frac{dy}{dx}=7x^{7 - 1}=7x^{6}$

Answer:

$7x^{6}$