This is what i have so far to find the points that are zero and mark them on the graph. But i cant for the life of me figure out how to proceed. Only started using mathematica last week. I need to mark the min and max values of the function too. But i dont know how to find them.

enter f[x_] = x * Cos[π/6]*(x^5 - 2 x^3 + x) - 0.1;

solution = Solve [f[x] == 0];

zero = Table [{x, 0} /. solution];

Plot [Ekv[x], {x, -1.2, 1.2}, PlotRange -> {-0.12, 0.05}, 
Epilog -> {Point /@ zero}]

1 Answer 1


The commands FindMinimum[] and FindMaximum[] are used to find local minima and maxima, respectively. In the current case, you can use Solve to get the stationary points directly.

 stationaryPoints = Transpose[{#, f /@ #}] &@(x /. Solve[f'[x] == 0, x])

Now, you can mark them on the plot

Plot[f[x], {x, -1.2, 1.2}, PlotRange -> {-0.12, 0.05}, 
 Epilog -> {PointSize[Medium], Point[zero], PointSize[Medium], Red, 
   Point[stationaryPoints]}, Frame -> True]

enter image description here

I hope this helps.

  • $\begingroup$ This would help and it would give me what im looking for, but i have to be ready to explain what i have done and how i came to those conclusions. Which means dumbing it down and not using derivaties if possible seeing as thats something i dont really have a good grasp on $\endgroup$
    – DM Chris
    Mar 29, 2017 at 12:36

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.