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Ask community Community Discussion Question: how is lny =x ln3 on differentiating become ..1/y dy/dx=ln3 ..?!
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anisha kumar (0)

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how is lny =x ln3 on differentiating become ..1/y dy/dx=ln3 ..?!
    
Vipul verma (33)

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The derivative of lny with respect to x is 1/y.dy/dx as derivative of lny is 1/y.and on right hand side derivative of x is 1 and ln3 being a constant will come out of differentiation
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anisha kumar (0)

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bt aint we supposed to apply the product rule ?
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HIMANSHU JAIN (376)

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ok, apply product rule on right side, you'll still get the same ans.

you have x*ln3.

diff it as per product rule:  x*(d(ln3)/dx) + ln3 (dx/dx)

As, ln3 is a constant. So, it's diff. will be zero.

So, we are left with ln3 only.

Hope it's clear now.

Feel free to ask/nudge.


Himanshu Jain
P.E.C.
http://jainhim.blogspot.com/
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