Question

determining minimums and maximums

Approximate the local minimum points and local maximum point of the function g(x)= x^4-5x^3+ 7x^2-3x -5 using that the slope of a tangent line at these points is zero/

Answer 1

well, g'=4x^3-15x^2+14x-3
where is g'=0?

Answer 2

How do you calculate the local minimum and maximum points using instantaneous rate.
The difference quotient:
g(x+h)-g(x)/h