How do you find the derivative of #4/sqrt x#?
1 Answer
May 25, 2016
Explanation:
Begin by writing
#4/sqrtx=4/x^(1/2)=4x^(-1/2)# now differentiate using the
#color(blue)" power rule"#
#d/dx(ax^n)=nax^(n-1)#
#rArrd/dx(4x^(-1/2))=(-1/2xx4)x^(-1/2-1)=-2x^(-3/2)#
#rArrd/dx(4/sqrtx)=-2x^(-3/2)=-2/(sqrt(x^3)#
