Differentiate the following w.r.t.x. x...

Differentiate the following w.r.t.x.
`x^(x)`

Text Solution

Verified by Experts

The correct Answer is:

`x^(x)(1+logx)`

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ARIHANT MATHS-DIFFERENTIATION -Exercise For Session 6

Differentiate the following w.r.t.x. x^(x)
02:13
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Differentiate the following w.r.t.x. x^sqrtx
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Differentiate the following w.r.t.x. x^(x^x)
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Differentiate the following w.r.t.x. x^(x^2)
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Differentiate the following w.r.t.x. x^(x)sqrtx
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Differentiate the following w.r.t.x. (cosx)^(x)
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Differentiate the following w.r.t.x. (sinx)^(cosx)
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Differentiate the following w.r.t.x. x^(cos^(-1(x)))
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Differentiate the following w.r.t.x. cos(x^(x))
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Differentiate the following w.r.t.x. log(x^(x)+cosec^(2)x)
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If y=(sinx)^(tanx)+(cosx)^(secx) , find (dy)/(dx)
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"If "x^(y)=e^(x-y)," prove that "(dy)/(dx)=(log x)/((1+log x)^(2)).
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If x^y+y^x=2, find (dy)/(dx) .
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If siny = xsin(a+y), prove that dy/dx=sin^2(a+y)/sina
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If y=sqrt(cosx+sqrt(cosx+sqrt(cosx+...tooo))), prove that (dy)/(dx)=...
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If y=(tanx)^((tanx)^((tanx).... ∞) ,then find (dy)/(dx) at x=pi/4
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If y=e^(x^(e^x)) , F i n ddy/dx.
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If y=e^(x) + x f i n d dy/dx.
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