Michael J. answered • 07/15/15
Tutor
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Effective High School STEM Tutor & CUNY Math Peer Leader
We have to use a combination of product rule and chain rule.
dy/dx = [5(lnx)2 + 5x(1/x) * 2(lnx)] - [10(lnx) + 10x(1/x)] + 10
= [5(lnx)2 + 10(lnx)] - [10(lnx) + 10] + 10
= 5(lnx)2 + 10(lnx) - 10(lnx) - 10 + 10
= 5(lnx)2
