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ARIHANT MATHS-DIFFERENTIATION -Exercise For Session 6
- Differentiate the following w.r.t.x. x^(x)
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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)+(cos x)^(secx), find (dy)/(dx).
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- If x^(y)=e^(x-y), prove that (dy)/(dx)=(logx)/((1+logx)^(2)).
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- If x^y+y^x=2, find (dy)/(dx) .
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- If (cosx)^(y)=(siny)^(x), then find (dy)/(dx).
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- If sin(a+y)+sina.cos(a+y)=0. Prove that : (dy)/(dx)=(sin^2(a+y)/(sina...
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- "If "y=sqrt(cosx+sqrt(cosx+sqrt(cosx+...oo)))", prove that "(dy)/(dx)=...
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- If y=(tanx)^((tanx)^((tanx)^...oo)), then prove that (dy)/(dx)=2 at x=...
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- if y = e^((x)^(e^x)) + x^(e^(e^x)) + e^(x^(x^e)), then dy/dx=e^((x)^(e...
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- If 0<a1<a2<ddot<an , then prove that tan^(-1)((a1x-y)/(x+a1y))+tan^(-1...
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