# Is there any software which can plot the graph of any function provide

When the first derivative is 0, then those corresponding points represent the maxima or minima. Is it always true? What r points of inflexion? And why is the derivative 0 there? At which other points is the derivative 0?

Is there any software which can plot the graph of any function provided to it as input?

regards,
Ritwik

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What is the derivative of a function? What does it mean "geometrically" (as in: relating to the graph of the function) when the derivative is 0 in a point?

Points of inflection are those points where the derivative vanishes, but there is not a minimum or a maximum (for example, the point x = 0 for the graph x3).

Finally, yes, such software exists (Mathematica, MatLab, Maple) which can plot functions in up to 3 dimensions, but is usually very expensive. You could check at your school / university / ... if they have it installed or available for students to take. But if you Google for "function grapher" or something like that, you will probably find a lot of simple ones already (this one, for example).

HallsofIvy