Question

question find the derivative of f(x)= - 4x^4. provide your answer below: f(x)=

Explanation:

Step1: Recall power - rule for derivatives

The power - rule states that if $y = ax^n$, then $y^\prime=anx^{n - 1}$, where $a$ is a constant and $n$ is a real number. Here, $a=-4$ and $n = 4$.

Step2: Apply the power - rule

$f(x)=-4x^4$, so $f^\prime(x)=(-4)\times4x^{4 - 1}$.
$f^\prime(x)=-16x^3$

Answer:

$-16x^3$