Flag Differential Calculus> If y=(x^n)log(x). Than find nth order der...
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If y=(x^n)log(x). Than find nth order derivative of y.

Pavan Kumar S , 9 Years ago
Grade 12th pass
anser 1 Answers
Vikas TU
Find first first order derivative,
dy/dx = x^n/x +nx^(n-1)*logx
d2y/dx2 = (n-1)x^(n-2) + n[1/x * nx^(n-1) + logx * n(n-1)x^(n-2)]
.                        .
.                       .
Genralizing,
y(n) = n!/x somthing like that.
U can also proove it by mathematical Induction.
 
Last Activity: 9 Years ago
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