find g(x) for g(x)=x^{-9/4}.\ng(x)=□
find g(x) for g(x)=x^{-9/4}.\ng(x)=□
Answer
Explanation:
Step1: Apply power - rule for differentiation
The power - rule states that if $y = x^n$, then $y^\prime=nx^{n - 1}$. Here $n=-\frac{9}{4}$.
Step2: Calculate the derivative
$g^\prime(x)=-\frac{9}{4}x^{-\frac{9}{4}-1}=-\frac{9}{4}x^{-\frac{9 + 4}{4}}=-\frac{9}{4}x^{-\frac{13}{4}}$
Answer:
$-\frac{9}{4}x^{-\frac{13}{4}}$