I'm reading a problem in my book and they are going over the solution to a problem: If f(x) = 1/x, then f^4 (x) = 24/x^5.... How the heck did they get that? If I take the function to the 4th power, I get 1/(x^4)... Am I not mistaken?
I'm reading a problem in my book and they are going over the solution to a problem: If f(x) = 1/x, then f^4 (x) = 24/x^5.... How the heck did they get that? If I take the function to the 4th power, I get 1/(x^4)... Am I not mistaken?
thats the 4th derivative of the function
f(x)=1/x
$\displaystyle \frac{df(x)}{dx}= \frac{-1}{x^2}$
$\displaystyle \frac{d^2f(x)}{dx^2}= \frac{2}{x^3}$
$\displaystyle \frac{d^3f(x)}{dx^3}= \frac{-6}{x^4}$
$\displaystyle \frac{d^4f(x)}{dx^4}= \frac{24}{x^5}$