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What are some applications of linear approximation in the real world?
What are examples you can give to Calculus I high school students?
Here is a link to show the level linear approximations will be taught.
I've found some applications by a simple google search. ...
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14
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10
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Examples of limits in nature with $\lim_{x \to c}f(x) \neq f(c)$
Next week I will start teaching Calculus for the first time. I am preparing my notes, and, as pure mathematician, I cannot come up with a good real world example of the following.
Are there good ...
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Applications of functions of the form $f(x)^{g(x)}$
Early on in my calculus education, I learned how to take the derivative of $x^x$ by re-writing it in the form $e^{x\ln x}$. More generally, this technique is helpful in finding the derivative of ...
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(Actual) applications of basic differential and integral methods
If this isn't the place, I apologize:
At the end of my calculus class, we asked the students (among other things) what some applications of calculus methods are. Disappointingly, many focused on the ...
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