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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
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- If sinx=(2t)/(1+t^(2)),tany=(2t)/(1-t^(2)),"find "dy/dx
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- If y=sec^(-1)(1/(4x^(3)-3x)),"find "dy/dx.
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- Find dy/dx" when "tan^(-1)(x^(2)+y^(2))=0.
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- Examine the differentiability of f, where f is defined by f(x) =...
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- Show that f(x) = |x-5| is continuous but not differentiable at x =...
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- A function f : R rarr R satisfies the equation f(x+y) = f(x). f(y...
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- If x = e^(x//y) , then prove that (dy)/(dx) = (x-y)/(xlogx).
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- f(x) = 1/(4x-1) in [1,4]
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- Discuss the Lagrange's mean value theorem for the function f(x) = sin ...
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- f(x)=sqrt(25-x^(2)) in [1,5]
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