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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE 5(j) (LONG ANSWER TYPE QUESTIONS (I))
- If y=sqrt(x+sqrt(x+sqrt(x+...tooo))), prove that (dy)/(dx)=1/(2y-1)
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- If y=sqrt(3^(x)+sqrt(3^(x)+sqrt(3^(x)+..."to "oo)))," prove that ":(2y...
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- If y=sqrt(sinx+sqrt(sinx+sqrt(sinx+ tooo))),p rov et h a t(dy)/(dx)=(c...
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- If y=(sinx)^((sinx)^((sinx)...oo))," prove that "(dy)/(dx)=(y^(2)cotx)...
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- If y=(cosx)^(cosx)^(cosx)^^((((oo)))),p rov et h a t(dy)/(dx)=-(y^2tan...
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- If y=(tanx)^((tanx)^((tanx)^...oo)), then prove that (dy)/(dx)=2 at x=...
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- If y=x^(x^(x...oo)) then prove that xdy/dx=(y^2)/(1-ylogx)
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- "If "y=a^(x^(a^(x...oo)))", prove that "(dy)/(dx)=(y^(2)(logy))/(x[1-y...
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- If y=x+(1)/(x+(1)/(x+(1)/(x+...oo)))," prove that "(dy)/(dx)=(y)/((2y-...
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- If y=(sinx)/(1+(cosx)/(1+(sinx)/(1+(cosx)/(1+\ ddotto\ oo)))) , prove ...
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