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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-PROBLEM
- 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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- Differentiate x^(sin^(-1)x w.r.t. sin ^(-1).
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- if x=e^(t)sin t and y=e^(t)cos t, then prove that (x+y)^(2)(d^(2)y)/dx...
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- Find dy/dx for (x+y)^(cosx) = e^(x+y).
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- If 2^(x)+2^(y)+2^(x+y) , then find dy/dx at x=y=1.
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- If y=x+e^(x),then find d^(2)x/dy^(2).
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- If e^(x)+e^(y)=e(x+y) find dy/dx.
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- Differntiate the following functions by proper substitution. [((1+t^2)...
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- If sin (x + y) = y cos (x + y) then prove that dy/dx =-(1 + y^2)/y^2
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