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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-PROBLEM
- If x=acos^(3)theta,y=a sin^(3)theta,then find (d^2y)/dx^(2)
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- Find dy/dx if y=cot^(-1)((1+cosx)^(1/2)/(1-cosx)^(1/2)) .
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- Find the derivative of sin x^(0) w.r.t. x.
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- Differentiate sin^(-1)(2xsqrt1-x^(2)) w.r.t. x.
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- Let f(x)=e^(x)g(x),g(0)=2 and g(0)=1, then find f'(0) .
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- If x in(0,pi/2) then find d/dx(sinx).
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- Find d/dx(sin^(-1)x)^(x^2)
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- If f(x)=[x^(2)] then f(3/2)=.
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- A differentiable function f defined for all x>0 satisfies f(x^(2))=x^(...
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- What is the derivative of f'(lnx) w.r.t. x where f(x)=ln x.
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- Find the derivative of log(x)a.
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- If x^(y)=e^(x-y) then find dy/dx.
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- Examine the continuity of the function f defined by f(x)={[2x+1if x<1]...
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- examine the contiunity of the following functions at indicated points ...
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- Examine the contiunity of the following functions at the indicated poi...
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- Find the value of a such that the function f defined by f(x)={((sinax...
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- If f(x)={(ax^2+b if x lt1),(1 if x=1),(2ax-b if xgt1):} is continuous...
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- Examine the contiunity of the the following functions at indicated poi...
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- Examine continuity and differentiability f(x)={[xsin1/x,if x!=0],[0,if...
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- Test differentiability of the following function at the indicated poin...
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