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ARIHANT MATHS-DIFFERENTIATION -Exercise For Session 8
- If y=x^x , prove that (d^2y)/(dx^2)-1/y((dy)/(dx))^2-y/x=0
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- If y=Acos(logx)+B sin(logx) then prove that x^(2)(d^(2)y)/(dx^(2))+x(d...
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- If y=xlog(x/(a+bx)), then prove that x^3(d^2y)/(dx^2)=(x(dy)/(dx)-y)^2
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- If y=log(x+sqrt(x^(2)+a^(2))), then prove that y=log(x+sqrt(x^(2)+a^(2...
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- y=[log(x+sqrt(x^2+1))]^2 then prove that (x^2+1)y2+x y1=2
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- If x=a t^2,\ \ y=2\ a t , then (d^2y)/(dx^2)= -1/(t^2) (b) 1/(2\ a t^...
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- x=acos^(3)theta,y=asin^(3)theta then find (d^(2)y)/(dx^(2))
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- If x=tan(1/alogy)\ , show that (1-x^2)(d^2\ y)/(dx^2)+(2x-a)(dy)/(dx)=...
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- If x = a cos theta + b sin theta and y =asin theta-b cos theta, then p...
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- If y =(ax +b)/( cx + d) , then prove that 2y1y3=3(y2)^2
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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=sint,y=sinKt then show that (1-x^(2))y2-xy(1)+K^(2)y=0.
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- If x^2+y^2=1,t h e n y y^-2(y^(prime))^2+1=0 y^+(y^(prime))^2+1=0 y...
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- Let f(x) be polynomial function of defree 2 such that f(x)gt0 for all ...
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