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A N EXCEL PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
- Find the second order derivative of the following functions tan^(-1)x
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- Find the second order derivative of the following functions log(logx)
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- Find the second order derivative of the following functions sin(logx)
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- If y=5cosx-3sinx, prove that (d^2y)/(dx^2)+y=0
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- If y=cos^-1x, find (d^2y)/(dx^2) in terms of y alone.
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- Let y=3cos(logx)+4sin(logx) Prove that x^2y2+xy1+y=0
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- If y=ae^(mx)+be^(nx) , show that (d^2y)/(dx^2)-(m+n)dy/dx+mny=0
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- If y=500e^(7x)+600e^(-7x). Show that (d^2y)/(dx^2)=49y
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- If e^y(x+1)=1 , show that (d^2y)/(dx^2)=(dy/dx)^2
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- If y=(tan^(-1)x)^2, show that (x^2+1)^2y2+2x(x^2+1)y1=2 .
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- Verify Rolle's Theorem for the function f(x)=x^2+2x-8 , x in [-4,2]
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- Examine if Rolle's theorem is applicable to any of the following funct...
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- Examine if Rolle's theorem is applicable to any of the following funct...
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- Examine if Rolle's theorem is applicable to any of the following funct...
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- If f:[-5,5]toR is a differentiable function and if f'(x) does not vani...
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- Verify mean value theorem for the function f(x)=x^2-4x-3 in the interv...
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- Verify Lagrange 's mean value theorem, if f(x)=x^3-5x^2-3x in the inte...
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- Differentiate the following w.r.t x (3x^2-9x+5)^9
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- Differentiate the following w.r.t x sin^3x+cos^6x
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- Differentiate the following w.r.t x (5x)^(3cos2x)
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