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PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
- If y = x^(x^(x….. To infty), prove that dy/dx = y^2/(x(1-ylogx)).
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- Differentiate (sinx)^(x)+(cosx)^(sinx) w.r.t. x.
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- Differentiate the following functions w.r.t.x x^x + x^(1//x)
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- Differentiate the following functions w.r.t.x x^(sinx) + (sin x)^x
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- Differentiate the following functions w.r.t.x (sinx)^(cosx) - x^(1//x)
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- Differentiate the following functions w.r.t.x sin(x^x) + (sin x)^x
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- Differentiate the following functions w.r.t.x x^(tanx) + (tanx)^(sinx)
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- Differentiate the following functions w.r.t.x : x^(sinx) + sinx^(cos...
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- Differentiate the following functions w.r.t.x (x cos x )^x + (x sin x ...
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- Differentiate (x^x)^x w.r.t.x .
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- Find dy/dx when y = 10x^x + x^(x^x) + (x^10)
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- Find dy/dx when y = e^(e^(e^x)) + e^(x^(e^(x))) + e^(e^(x^x))
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- Find dy/dx when (sin x)^y = (sin y)^x
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- Find (d^2y)/(dx^2) when y = 2x^3 + 3x^2 + 6
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- Find (d^2y)/(dx^2) when y = (logx)/(x)
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- Find (d^2y)/(dx^2) when y = x^x
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- Find (d^2y)/(dx^2) when y = e^x sin x
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- Find (d^2y)/(dx^2) when y = x^2 + tan x
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- Find (d^2y)/(dx^2) when y = x^3 + tan x
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- Find the second derivative of log x + cosx.
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