what is the integration and differenation of (x^x)?
what is the integration and differenation of (x^x)?
vamsi , 11 Years ago
Grade 12th pass
Magical Mathematics[Interesting Approach]> what is the integration and differenation...
1 Answers
Harsh Patodia
We cannot integrate this
For differentiation of xx,
Let xx= y
Take log on both sides
xlogx = logy
Differentiate both sides wrt to x
x * 1/x + logx = 1/y * dy/dx
y(1 + logx) =dy/dx
dy/dx= xx(1 + logx) ( Substituting Y back)
For differentiation of xx,
Let xx= y
Take log on both sides
xlogx = logy
Differentiate both sides wrt to x
x * 1/x + logx = 1/y * dy/dx
y(1 + logx) =dy/dx
dy/dx= xx(1 + logx) ( Substituting Y back)
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