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BETTER CHOICE PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-SOLVED EXAMPLES (Short Answer Type Questions)(Section VIII)
- Differentiate x^sinx, x>0 w.r.t. x.
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- Differentiate (sin x)^(sin x) w.r.t. x.
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- Differentiate (x^x)^x w.r.t.x .
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- Differentiate x^(x^x) w.r.t. x.
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- Differentiate (sin x - cos x)^(sin x -cos x) , (-pi)/(4) lt x lt (3pi)...
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- If x^Y = e^[X - Y], prove that dy/dx= log x/(1+logx)^2.
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- If y = x^y, prove that (dy)/(dx) = (y^2)/(x(1 - y log x))
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- Differentiate the function w.r.t. x : sqrt ((x-1)(x-2))/((x-3)(x-4)(...
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- Find the derivative of the function given by f(x) = (1+x)(1+x^2)(1+x^4...
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