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October 25, 2014

October 25, 2014

Posted by **Kristina** on Wednesday, November 17, 2010 at 11:07am.

- CALC -
**Reiny**, Wednesday, November 17, 2010 at 11:29amThere are certain pattern that you should recognize in derivatives

e.g. if y = ln(anything)

then dy/dx = derivative(anything)/anything

I noticed that the derivative of the denominator appears at the top, differing only in a constant

so let's start with

y = ln(1 + 4e^(2t))

dy/dt = 8e^(2t)/(1 + 4e^(2t) )

instead of the 5 I need on top I see an 8

so how about

y = (5/8)ln(1 + 4e^(2t) ) + C

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