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BANSAL-LIMITS AND DERIVATIVES-All Questions
- Find (dy)/(dx) if x=a(cost+tsint) and y=a(sint-tcost)
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- Find (dy)/(dx) if x=(3a t)/(1+t^3) ; y=(3a t^2)/(1+t^3)
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- Find (dy)/(dx) if =asec^2theta ; y=atan^3theta .
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- Find (dy)/(dx) if x=asqrt(cos2t) cost and y=asqrt(cos2t) sint then, fi...
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- If x=sectheta-costheta and y=sec^n theta- cos^n theta then show that (...
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- find dy/dx if x=a cos 3 t , y=a sin 3 t
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- Differentiate logsinx w.r.t. sqrt(cosx)
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- Differentiate tan^(-1)((sqrt(1+x^2)-1)/x) w.r.t. tan^(-1)x
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- Find derivative of (lnx)^(tanx) w.r.t. x^x .
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- Derivative of cos^(-1)(2x^2-1) w.r.t. sqrt(1-x^2) when x=1/2 .
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- Define derivative of sin^(-1)((2x)/(1+x^2)) w.r.t. cos^(-1)((1-x^2)/(1...
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- Differential coefficient of e^sin^((-1)x) w.r.t. e^-cos^((-1)x) is ind...
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- Find the derivative of f(tanx) w.r.t. g(secx) at x=pi/4 , where f^(pri...
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- If y=sin(sinx) then prove that y2+(tanx)y1+ycos^2x=0
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- If y=acos(lnx)+bsin(lnx) then prove that x^2y3+3x y2+2y1=0
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- If y=e^acos^((-1)x) , then prove that (1-x^2)y2-x y1-a^2y=0 .
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- If (x-a)^2+(y-b)^2=c^2\ \ (c >0) then ([1+((dy)/(dx))^2]^(3//2))/((d^2...
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- Using mathematical induction prove that d/(dx)(x^n)=n x^(n-1) for all...
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- If y=e^tan^((-1)x) , prove that (1+x^2)y2+(2x-1)y1=0 .
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- If y=e^(asin^(-1)x) then show that (1-x^2)y(n+2)-(2n+1)xy(n+1)-(n^2+a^...
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