Homework Soursefor the function fxlnx5x find f x f 0 and f 2Solution f
for the function f(x)=(ln(x))/(5x), find f \' \'(x), f \' \' (0), and f \' \' (2).
Solution
f\'(x)=(5x)*(1/x)-(lnx*5)/(5x)^2 =(1-lnx)/5x^2 f\"(x)=(5x^2)*(-1/x)-(1-lnx)*(10x)/(5x^2)^2 =(-5x-10x*(1-lnx))/25x^4 =(-x+2x*(lnx-1))/5x^4 f\"(0)=undefined as ln0 is not defined f\"(2)=(-2+4*(ln2-1))/5*16 =-0.04032![for the function f(x)=(ln(x))/(5x), find f \' \'(x), f \' \' (0), and f \' \' (2).Solution f\'(x)=(5x)*(1/x)-(lnx*5)/(5x)^2 =(1-lnx)/5x^2 f\](/WebImages/39/for-the-function-fxlnx5x-find-f-x-f-0-and-f-2solution-f-1120125-1761595906-0.webp "for the function f(x)=(ln(x))/(5x), find f \' \'(x), f \' \' (0), and f \' \' (2).Solution f\'(x)=(5x)*(1/x)-(lnx*5)/(5x)^2 =(1-lnx)/5x^2 f\")
