Question

find the derivative of $f(x)=x^{5}$.

Explanation:

Step1: Apply power rule

The power rule states that if \(y = x^n\), then \(y^\prime=nx^{n - 1}\). For \(f(x)=x^5\), where \(n = 5\).

Step2: Calculate derivative

Using the power rule \(f^\prime(x)=5x^{5-1}\).

Answer:

\(f^\prime(x)=5x^{4}\)