Calculus

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bildnera

30. März 2018 19:35

I was looking for an answer to this question in the calculus section but I struggled to do so. I was wondering if anyone here could answer my question (or make a video on it). When you are given a function f(x) and then given another function g(x) = f(ax) where a is some constant (.5, 5, etc), how do the values for g(x), g'(x), and g''(x) relate to the values of f(x), f'(x), and f''(x)? Thanks!

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Regina Litman

2. April 2018 01:42
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This is still recent knowledge for me, so I don't feel I can answer your question. However, if you look for the Chain Rule topic in the Differential Calculus, AP Calculus AB, or AP Calculus BC course, you may be able to get some help.
bildnera

2. April 2018 02:00
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I checked. It isn't there
Okapi

5. April 2018 09:30
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Hi bildnera,

I think it depends very much on which function you have. I think it will have an other impact on f(x) = x² than on f(x) = 2x+1/x + 7x, for example.

If you are interested in a special type of equations, then take the overall equation of this type, for example f(x) = ax²+bx+c and some letter for your five in the equation above, for example z.

Then make the derivations of ax²+bx+c and a(z*x)²+b(z*x)+c and compare.

If you like, present your results here afterwards so that other people can learn from it, too!

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Calculus

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