Grade 12th passDifferential Calculus
compute the n-th differerntial coefficient of y=xloge^x
compute the n-th differerntial coefficient of y=xloge^x
1 Answer
Nandana
I think it is y= x log ex not y= x log e^x !
if that is y= x log ex then
d / dx (y) = x (1/x) + ln x
= 1+ ln x
d(2) / dx = 1/x
d(3) / dx = -1/ x^2
d(4) / dx = 2/ x^3
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.
.
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d(n) / dxn = (n-2)! / x^(n-1) , if n is even if not (-) will come
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