How do you find the derivative of #sqrt(1/x^3)#?
Now apply the power rule.
If you really like the quotient rule and algebra , then use
So the derivative is
Now simplify algebraically to get
If you are a glutton for algebra use the chain rule and the quotient rule:
# = 1/2 (1/x^3)^(-1/2) [d/dx(1/x^3)]#
# = 1/2 (1/x^3)^(-1/2) [((0)x^3-1(3x^2))/(x^3)^2]#
Now simplify algebraically.