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If x=a(cost+1/2logtan^2t) and y=asint th...

If `x=a(cost+1/2logtan^2t)` and `y=asint` then find `(dy)/(dx)` at `t=pi/4`

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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
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  2. The n t h derivative of x e^x vanishes when (a)x=0 (b) x=-1 (c)...

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  3. If x=a(cost+1/2logtan^2t) and y=asint then find (dy)/(dx) at t=pi/4

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  4. or,find the derivatives of tan^(-1) ((sqrt(1+x^2)-1)/x) with respect t...

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  7. If x=acos^3theta,y=a sin^3theta,then find the value of (d^2y)/(dx^2) a...

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  8. If x = sqrt(a^(sin^(-1)t)) and y= sqrt(a^(cos^(-1)t) show that (dy)/(...

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  9. If x/a+y/b=sqrt2 touches the ellipses x^2/a^2+y^2/b^2=1, then find the...

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  10. If y=f((2x-1)/(x^2+1))andf^'(x)=sinx^2, then find (dy)/(dx)

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  11. Let y=x^(3)-8x+7 and x=f(t)." If "(dy)/(dt)=2 and x=3 at t = 0," then ...

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  12. If x=(2t)/(1+t^2),y=(1-t^2)/(1+t^2),then find (dy)/(dx).

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  13. If fr(x),gr(x),hr(x),r=1,2,3 are polynomials such that fr(a)=gr(a)=hr(...

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  14. Find (dy)/(dx)ifx=a(theta-sintheta) and y=a(1-costheta)dot

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  15. If f(x)=(log)x(log x),t h e nf^(prime)(x) at x=e is equal to (a) 1/e ...

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  16. Differentiate tan^(-1)(x/(1+sqrt((1-x^2)))) +{2tan^(-1)sqrt(((1-x)/(1+...

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  17. If x=asec^3theta and y=atan^3theta, find (dy)/(dx) at theta=pi/3dot

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  18. Differentiate (logx)^(cosx) with respect to xdot

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  19. Find the differential equation of the curves given by y = Ae^(2x)+Be^(...

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