Mwaendange M.

asked • 04/26/24

find the first and second derivative of fourth root x^(5) *(x-4)^2

Doug C.

Is it the 4th root of the entire expression? As in: [x^5(x-4)^2]^(1/4)?
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04/26/24

Mwaendange M.

No. it is just for the first part, [x^5]^(1/4)*[x-4]^2 or [x^4/5](x-4)^2
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04/26/24

Doug C.

In that case have a look here to see how to use the product rule to find the 1st/2nd derivative. Also how to check for critical numbers and use the 2nd derivative to check for points of inflection: desmos.com/calculator/dbywx7eifw
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04/28/24

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