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