Can I Visualize Mathematical Terms with Wolfram Alpha?

In summary, the conversation discussed the need for visual aids in understanding mathematical terms, specifically graphs of f(x), f'(x), and f''(x) to comprehend derivatives. The use of programs like Mathematica and Maple were suggested as options, with a recommendation to check with university computer labs for access. Additionally, the website Wolfram Alpha was suggested as a resource for obtaining multiple outputs of functions and derivatives.
  • #1
mather
146
0
hello!

I think it would help a lot to visualize mathematical terms

I would like to see the graphs of various f(x), then their f'(x), their f''(x), in order to understand what derivatives mean

example:
http://en.wikipedia.org/wiki/File:Graph_of_sliding_derivative_line.gif

same with differential equations, geometrical terms, probability terms, etc

is there a website that actually visualizes all these?

thanks!
 
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  • #2


Hey mather.

Typically you do this kind of thing in something like Mathematica or Maple but these programs are expensive. If you are a university student though, you should see if one of your computer labs has a copy for you to use (you may have to be enrolled in a particular course to gain access to it though).

You should check out this and read how to get multiple output for your functions and derivatives:

http://www.wolframalpha.com/
 

FAQ: Can I Visualize Mathematical Terms with Wolfram Alpha?

What is visualizing mathematical terms?

Visualizing mathematical terms is the process of representing mathematical concepts and equations using visual aids such as diagrams, graphs, and charts. It helps to make abstract concepts more tangible and easier to understand.

Why is visualizing mathematical terms important?

Visualizing mathematical terms can help students develop a deeper understanding of mathematical concepts by providing a visual representation that can aid in comprehension and problem-solving. It can also make math more engaging and enjoyable.

What are some common strategies for visualizing mathematical terms?

Some common strategies for visualizing mathematical terms include using diagrams or models to represent equations, creating graphs or charts to show relationships between variables, and using color-coding or other visual cues to highlight important information.

How can visualizing mathematical terms improve problem-solving skills?

Visualizing mathematical terms can improve problem-solving skills by providing a visual representation of the problem, which can help students identify patterns and make connections between different concepts. It can also help students break down complex problems into smaller, more manageable parts.

Are there any drawbacks to visualizing mathematical terms?

While visualizing mathematical terms can be a helpful tool, it should not be relied on as the only method for understanding math. Some students may struggle with visual learning and may need different strategies to fully grasp mathematical concepts. Additionally, visual representations may not always accurately represent the entire concept and may oversimplify or leave out important information.

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