Question

find f(x) for f(x) = 3x^6. f(x) =

Explanation:

Step1: Apply power - rule for differentiation

The power - rule states that if $y = ax^n$, then $y^\prime=anx^{n - 1}$. Here $a = 3$ and $n = 6$.

Step2: Calculate the derivative

$f^\prime(x)=3\times6x^{6 - 1}$.
Simplify the expression: $f^\prime(x)=18x^{5}$.

Answer:

$18x^{5}$