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If y=(x^4-x^2+1)/(x^2+sqrt(3)x+1) and (d...

If `y=(x^4-x^2+1)/(x^2+sqrt(3)x+1) and (dy)/(dx)=a x+b ,` then the value of a+b is (a)`cot(pi/8)` (b) `cot((5pi)/12)` (c) `tan((5pi)/12)` (d) `tan((5pi)/8)`

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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
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  2. If sqrt(x) +sqrt(y)=4, f i n d (dx/dy) a t (y = 1).

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  4. If x y+y^2=tanx+y ,then find (dy)/(dx)

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  7. If y=x^((logx)^("log"(logdotx))),t h e n(dy)/(dx)i s (a)y/x(1n x^(x-...

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  12. If x^m y^n=(x+y)^(m+n),p rov et h a t(dy)/(dx)=y/xdot

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  13. Let g(x)=f(x)sinx ,w h e r ef(x) is a twice differentiable function on...

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  14. If x=acos^3theta,y=a sin^3theta,then find the value of d2y/dx2 at θ=π/...

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  15. If x=sqrt(a^(sin^(-1)t)),y=sqrt(a^(cos^(-1)t) , a >0 a n d -1 < t...

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  16. 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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  18. Let y=x^3-8x+7 and x=f(t). ( dy ) / ( dx ) = 2 and x=3 at t=0, then...

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

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