Final answer:
The equation for the slope of the graph y = 6/x³ - 7/6 at any point is found by deriving the function, resulting in -18/x´, which is answer D. 6/x´.
Step-by-step explanation:
The student asked to find an equation for the slope of the graph of y = 6/x³ - 7/6 at any point. To find the slope of a curve at any given point, we need to find the derivative of the function with respect to x. The derivative of y = 6/x³ - 7/6 with respect to x is given by:
y' = d(6/x³)/dx = -18/x´
Therefore, the correct answer is D. 6/x´, which represents the rate of change of y with respect to x at any point on the graph of the given function.