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ARIHANT PUBLICATION-CONTINUITY AND DIFFERENTIABILITY -(PART V) QUESTION FOR PRACTICE (6 MARK)
- If (cosx)^(y)=(cosy)^(x), then find (dy)/(dx).
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- Differentiate the following function w.r.t. x, (logx)^(x)+x^(logx).
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- If y=x^(sinx)+(sinx)^(cosx), then find (dy)/(dx).
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- If x^(p)y^(q)=(x+y)^(p+q), then prove that (dy)/(dx)=(y)/(x).
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- Find (dy)/(dx), if y=cot^(-1)(log cos e^(-x))+(x sin^(-1)x)/(sqrt(1-x^...
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- Find (dy)/(dx), if y=tan^(-1)((cosx)/(1+sinx)).
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