Wie finden Sie die Ableitung von # 1 / (2x) #?

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)#