Computer program for visualizing multivariable Calculus topics

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I am an undergraduate studying multivariable Calculus. However I have difficulty visualizing concepts. In single variable calculus I can visualize stuff, for example when one talks about derivatives, I can see the tangent line etc. In multivariable, I can prove that gradient is perpendicular to the level curves, but If I have a graph of a function, I can't visualize gradient in every single point. Is there a computer program for this issue? Do I have to learn something like Mathematica or are there another options?