Determine the instaneous rate of change of g(x)=1/3x^6+4x-7 at x=2

Refresh if you see errorsthe instantaneous rate of change of  at a point is given by the value of the derivative function  at that point.derivatives are the instantaneous rate of change (same as the slope of a tangent line at a point).the question wants you to find  .to do that, we need to find an equation for  .differentiate the function  with respect to x.recall that the power rule for derivatives is as follows:     so differentiating:     substituting x=2    the instantaneous rate of change of the function at x=2 is 68.