︠8a6927bd-7bda-40b1-8486-7f6640980080︠
x=var('x')
︡c693f286-eafd-4dc2-bfa2-d8701504fd3f︡︡
︠b084de7b-563d-4056-9819-5551e48fe0ca︠
f=(sqrt(3*x)*5*ln(x))/(exp(5*x^3))
show (f)
︡5ae5d551-5968-4329-89c5-fc34a3056c69︡{"html": "{{{{5 \\sqrt{ 3 }} \\sqrt{ x }} {e}^{-{5 {x}^{3} }} } \\log \\left( x \\right)}
"}︡{"html": "\\newcommand{\\Bold}[1]{\\mathbf{#1}}"}︡
︠5ff42737-39b8-4708-ad97-047d5b43599f︠
diff(f,x)
︡feba7649-4b56-4c8a-a782-9faff5cc3a60︡{"stdout": "\\newcommand{\\Bold}[1]{\\mathbf{#1}}{{{{-75 \\sqrt{ 3 }} {x}^{\\frac{5}{2}} } {e}^{-{5 {x}^{3} }} } \\log \\left( x \\right)} + \\frac{{{{5 \\sqrt{ 3 }} {e}^{-{5 {x}^{3} }} } \\log \\left( x \\right)}}{{2 \\sqrt{ x"}︡
︠465dc643-1155-4a86-8722-6c20c275ae6ai︠
%html
+ \frac
︡ce627586-e920-452e-a0be-f8ebc179872c︡{"html": "+ \\frac"}︡
︠10390e36-723e-4ad9-8538-ba99c9a73151︠
}}}
{{{id=12|
diff(f,x,2)
︡3f310131-6d5d-4bfa-b122-a9b5e93a1432︡{"html": "\\newcommand{\\Bold}[1]{\\mathbf{#1}}{{{{1125 \\sqrt{ 3 }} {x}^{\\frac{9}{2}} } {e}^{-{5 {x}^{3} }} } \\log \\left( x \\right)} - {{{{225 \\sqrt{ 3 }} {x}^{\\frac{3}{2}} } {e}^{-{5 {x}^{3} }} } \\log \\left( x \\right)} - \\frac{{{{5 \\sqrt{ 3 }} {e}^{-{5 {x}^{3} }} } \\log \\left( x \\right)}}{{4 {x}^{\\frac{3}{2}} }} - {{{150 \\sqrt{ 3 }} {x}^{\\frac{3}{2}} } {e}^{-{5 {x}^{3} }} }"}︡