Quotient rule: "low d'high - high d'low, square the denominator and away we go"
This essentially means "[ (bottom function)*(derivative of the top function) - (top function)*(derivative of the bottom function) ] / (bottom function)2
Applying the quotient rule to this problem, we get:
[ (1 + x2)(3cos(3x)) - (sin(3x))(2x) ] / (1 + x2)2 = [ 3cos(3x) + 3x2cos(3x) - 2xsin(3x) ] / (1 + x2)2
Farid S.
tutor
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You'll notice multiple questions that each have multiple answers. This is to the student's benefit. This has nothing to do with professional courtesy. Furthermore, there's a good chance that the student has multiple problems of the same type, so showing them a full solution to one problem can help them understand how to solve similar problems.
If you're unhappy with how WyzAnt's forums work, you're more than welcome to join another site.
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05/10/14
Philip P.
05/10/14