Come si trova la derivata di # 1 / (2x) #?
Risposta:
#-1/(2x^2)#
Spiegazione:
Differentiate using the #color(blue)"power rule"#
#color(red)(|bar(ul(color(white)(a/a)color(black)(d/dx(ax^n)=nax^(n-1))color(white)(a/a)|)))#
Rewrite the function as.
#1/(2x)=1/2xx1/x=1/2xxx^-1=1/2x^-1#
#rArrd/dx(1/2x^-1)=-1xx1/2x^(-1-1)=-1/2x^-2#
#rArrd/dx(1/(2x))=-1/2x^-2=-1/(2x^2)#