how is this a composition function. | Mathematics | Page 1

proud kindle Dec 30, 2022, 6:01 AM

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this is correct

onyx violet Dec 30, 2022, 6:23 AM

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im correct or he is?

proud kindle Dec 30, 2022, 6:33 AM

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the one on the image is correct

last furnace Dec 30, 2022, 6:54 AM

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You can treat this question in two ways.

Chain rule for a composite function.
(d/dx)(ln(x^2)) = (d/d(x^2))(ln(x^2))(d/dx)(x^2) = (1/x^2)(2x) = 2/x
Using the property of logarithms.
ln(x^2) = 2ln(|x|)
So:
(d/dx)(ln(x^2)) = 2(d/dx)(ln(|x|)) = 2/x

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Personally, I'd use the second approach.

onyx violet Dec 30, 2022, 7:35 AM

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that makes sense thanks

#how is this a composition function.