If the Cost function is C= ($100(√(9+x^2)) + ($80(12-x)), find the positive value for x where..............
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If the Cost function is C= ($100(√(9+x^2)) + ($80(12-x)), find the positive value for x where..............

[From: ] [author: ] [Date: 12-06-25] [Hit: ]
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Find the positive value for x for which the cost function is stationary?
Pls explain, I would highly appreciate it

I dont understand how to differentiate.. pls explain in steps

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C'=100*1/2*(2x/√(9+x^2))-80
=100x/√(9+x^2) -80
when C' =0
100x=80*√(9+x^2)
10000x^2=6400*(9+x^2)
3600x^2=6400*9
x^2=6400*9/3600
x^2=16
then we can find the positive value x=4
1
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