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If cosx=sqrt(1/(1+t^2)),sin y=(2t)/(1+t^...

If `cosx=sqrt(1/(1+t^2)),sin y=(2t)/(1+t^2)` then show that `(dy)/(dx)` is independent of t.

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SHARAM PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXAMPLE
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  5. If y^2 cot x = x^2 cot y then find (dy)/(dx).

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  6. Find the derivative of x^(sinx) w.r.t.x.

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  12. If y=(x+(1)/(x+(1)/(x+ . . .oo))) find (dy)/(dx), the rhs being a vali...

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  13. If y=e^(sin^(-1)x) and u=logx then what is (dy)/(du)?

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  14. Find the slope of the tangent to the curve x=2(theta-sin2theta),y=2(...

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  18. Find (dy)/(dx), if y=log(x^(2)) 3.

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  19. Find (dy)/(dx)when y=10^(sin x).

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