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ARIHANT PUBLICATION-CONTINUITY AND DIFFERENTIABILITY -(PART V) QUESTION FOR PRACTICE (4 MARK)
- If logsqrt(x^(2)+y^(2))=tan^(-1)((x)/(y)), then show that (dy)/(dx)=(y...
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- If (x-y)*e^((x)/(x-y))=a, then prove that y(dy)/(dx)+x=2y.
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- If y^(x)=e^(y-x), then prove that (dy)/(dx)=((1+log y)^(2))/(logy).
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- If (x)/(x-y)=log((a)/(x-y)), then prove that (dy)/(dx)=2-(x)/(y).
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- If y^(x)=x^(y), then find (dy)/(dx).
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- Find the derivative of y=(x+3)^(2)(x+4)^(3)(x+5)^(4)
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