find f(x) for f(x) = 3x^6. f(x) =
find f(x) for f(x) = 3x^6. f(x) =
Answer
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:
$18x^{5}$