find f(x) for f(x)= - 9x^7. f(x)=□
find f(x) for f(x)= - 9x^7. f(x)=□
Answer
Explanation:
Step1: Recall power - rule for differentiation
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. For the function $f(x)=-9x^7$, $a=-9$ and $n = 7$.
Step2: Apply the power - rule
$f^\prime(x)=(-9)\times7x^{7 - 1}$. $f^\prime(x)=-63x^6$.
Answer:
$-63x^6$