If x=logt and y=1/t prove that d2y/dx2 + dy/dx=0
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= 0 proved.
Step-by-step explanation:
Explanation:
Given in the question that, x = log t and y =
By partial differentiation,
x = log t and y =
⇒ = and =
Step 1:
From the explanation part we have,
= .........(i) and = .........(ii)
from (i) and (ii)
= = = .......(iii)
Now, differentiate (iii) with respect to x.
= = × t = [ where = t]
So, according to the question we need to show that = 0.
On putting the values of we get ,
⇒
⇒ + () = 0 .
Final answer:
Hence, here we proved that = 0.
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