What is the derivative of #y=1/2(x^2-x^-2)#?
1 Answer
Apr 29, 2018
Explanation:
#"differentiate using the "color(blue)"power rule"#
#•color(white)(x)d/dx(ax^n)=nax^(n-1)#
#y=1/2x^2-1/2x^-2#
#rArrdy/dx=(2xx1/2)x^(2-1)-(-2xx1/2)x^(-2-1)#
#color(white)(rArrdy/dx)=x+x^-3#