Question: Write a program that does the following: 1) set f(x)= x3 125x and finds the following: 2) find lim f(x) x-00 3) find the y

Write a program that does the following: 1) set f(x)= x3 125x and finds the following: 2) find lim f(x) x-00 3) find the y coordinate of the point where the slope of the tangent line is -1 . 4) find the critical points of f 5) test if f has a local minimum at 5 then display " has a local minimum at 5
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