Y equals 8 divided by -3x?

Answer 1

11

Answer 2

y=(8)/(-3x)

Move the minus sign in the denominator to the front of the expression.
(d)/(dx) (8)/(-3x)=-(8)/(3x)

To find the derivative of -(8)/(3x), multiply the base (x) by the exponent (-1), then subtract 1 from the exponent (-1-1=-2). Since the exponent is negative, the variable remains in the denominator.
(d)/(dx) (8)/(-3x)=(8)/(3x^(2))

The derivative of y with respect to x is (8)/(3x^(2)).
(dy)/(dx)=(8)/(3x^(2))