find d/dx [(9)/(cube root of x)]?

Question

that is 9 divided by the cube root of "x"

Answer 1

You can rewrite the function as
f(x)=9*x^(-1/3)
which may help you see how to obtain the derivative.
Bring the power down to the front (as a product), and
subtract the exponent by 1.
f'(x)=9*(-1/3)*x^(-4/3)
f'(x)= -3/(x^(4/3))

Answer 2

d[9x^(-1/3)]/dx =
(-1/3)(9)x^(-1/3 - 1) =
-3x^(-4/3) =
-3/[x•cube root of x]

Answer 3

d/dx(9x^-1/3)
=-3x^(-4/3)