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SHARAM PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXAMPLE
- Find d/(dx)cot^(-1) tan(pi/2-x).
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- If y=sec^(-1)(sqrtx+1)/sqrtx+sin^(-1)fracsqrtx(sqrtx+1)then dy/dx=
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- What is the first derivative of cos^(-1) (sin(sqrt(1+x)/2))+x^x w.r.t ...
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- If f(x)=|logx| then for x!=1, then what is f'(x)?
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- What is the derivative of tan ^(-1)(cos sqrt(x)).
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- If y=cot^(-1)(sqrt(1+x^2)/x) then (dy)/(dx)=?
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- Find the derivative of cos^(-1)(sqrt(1+x)/2).
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- Differentiate cos^(-1) (4x^3-3x).
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- Differentiate tan^(-1)((sqrtx-x)/(1+xsqrt(x))).
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- If y=10^(x) and z=100^(x/2) then find d/dx(y^(2)/z).
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- What is the derivative of cos (sin^(-1)x) w.r.t cos^(-1)x?
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- What is the derivative of cosec^(-1) x w.r.t x when |x|>1.
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- Find (dy)/(dx)when y = log|x|.
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- Find (dy)/(dx) att = 1/2 when x = (at^2), y=2at.
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- Find d/(dx) In sin^(-1)cos((pi-2e^x)/2).
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- If y=tan^(-1)((a)/(x))+logsqrt((x-a)/(x+a)), then prove that (dy)/(dx)...
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- If (tan^(-1)x)^y + y^(cotx) =1then find (dy)/(dx).
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- If x^y = e^(x-y) then prove that (dy)/(dx)=logx/(1+logx)^2.
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- If y =x log (x/(a+bx))then prove that x^3(d^2y)/(dx^2)=(x(dy)/(dx)-y)^...
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- If y=(sinx)^(x)+sin^(-1)sqrt(x), then find (dy)/(dx).
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