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A DAS GUPTA-Differentiation-Exercise
- Find dy/dx if : x^sin y +y^cos x =1
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- If y^x+x^y=(x+y)^(x+y) find dy/dx
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- Find (dy)/(dx) if : y= x/(a+ x/(b+ x/(a+ x/(b+ …))))
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- Find dy/dx if : y=(x^(x^x…. to prop))
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- If sqrt(1-x^4)+sqrt(1-y^4)=k(x^2-y^2), prove that dy/dx=(xsqrt(1-y^4)...
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- Find the derivative of f(x)=log(x)sin x^2 + (sin x^2) ^(logex) w.r.t. ...
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- Find the derivative of sec^(-1)((1)/(2x^(2)-1))" w.r.t. "sqrt(1-x^(2))...
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- Find the differentiation of log((1-sqrt(x)))(sin^-1(1-sqrt(x))) with r...
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- If y=sqrt((t-alpha)/(beta-t)) and x=sqrt((t-alpha)(beta-t)) then find ...
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- If x=f(t) and y=phi(t), prove that (d^2y)/(dx^2)=(f1phi2-f2phi1)/(f1^3...
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- If x=sectheta-costheta and y=sec^n theta- cos^n theta then show that (...
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- If x=costheta,ysin^3theta,"p r o v et h a t" y(d^2y)/(dx^2)+((dy)/(...
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- If x = 2 cos t - cos 2t , y = 2 sin t - sin 2t, then the value of ...
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- Find (dx)/(dt) when x = sin^-1(t.sqrt(1-t) +sqrt(t) sqrt(1-t^2)).
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- If x^(2)+y^(2)=t andx^(4)+y^(4)=t^(2)+(1)/(t^(2)), then prove that (dy...
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- Prove that d/(dx)|(u1,v1,w1),(u2,v2,w2),(u3,v3,w3)|=|(u1,v1,w1),(u2,v2...
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- If fr(x),gr(x),hr(x),r=1,2,3 are polynomials such that fr(a)=gr(a)=h ,...
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- If y = cos ax, prove that |(y,y1,y2),(y3,y4,y5),(y6,y7,y8)|=0 where yr...
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- Let Delta(x)=|(x^2-1,x+1,x-2),(2x^2-1,3x,3x-3),(x^2+4,2x-1,2x-1)|. Pro...
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- If y=sin(2sin^-1x)show that (1-x^2)(d^2y)/(dx^2)= xdy/dx-4y
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