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If x=a(cost+tsint) and y=a(sint-tcost) ,...

If `x=a(cost+tsint)` and `y=a(sint-tcost)` , then find the value of `(d^2y)/(dx^2)` at `t=pi/4` .

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OSWAAL PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-DIFFERENTIABILITY ( LONG ANSWER TYPE QUESTIONS-I)
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  2. If y=(t a n^(-1)\ x^2) , show that (x^2+1)^2(d^2\ y)/(dx^2)+2x(x^2+1)(...

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  4. If (x-y)ex/(x-y)=a , prove that (dy)/(dx)+x=2ydot

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  5. If x=a(cost+logtant/2) , y=asint , evaluate (d^2y)/(dx^2) at t=pi/3 .

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  9. Differentiate tan^(-1)(x/(sqrt(1-x^2))) with respect to sin^(-1...

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  12. Find the value of (dy)/(dx) at theta= pi/4, if x=ae^theta(sintheta-c...

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  18. Differentiate log (x^(sin x)+cot^(2) x) w.r.tx.

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  19. If x=2costheta-cos2theta and y=2sintheta-sin2theta then prove that (dy...

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