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ARIHANT PUBLICATION-CONTINUITY AND DIFFERENTIABILITY -(PART VIII) QUESTION FOR PRACTICE (4 MARK)
- If y=tanx+secx, then prove that (d^(2)y)/(dx^(2))=(cosx)/((1-sinx)^(2)...
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- If y=tan^(-1)x, then show that (1+x^(2))(d^(2)y)/(dx^(2))+2x(dy)/(dx)=...
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- x=tan((1)/(2)" log y"), then show that (1+x^(2))(d^(2)y)/(dx^(2))+(2x-...
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- If y=sqrt(x+1)-sqrt(x-1), then prove that (x^(2)-1)(d^(2)y)/(dx^(2))+x...
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- If y=asinx+bcosx, then prove that (d^(2)y)/(dx^(2))+y=0
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- If y=log[x+sqrt(x^(2)+1)], then prove that (x^(2)+1)(d^(2)y)/(dx^(2))+...
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- If y=(x+sqrt(1+x^(2)))^(n), then show that (1+x^(2))(d^(2)y)/(dx^(2))+...
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- If y=3cos(logx)+4sin(logx), then show that x^(2)y(2)+xy(1)+y=0.
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- If x=a(cost+tsint) and y=a(sint-tcost), then find (d^(2)y)/(dx^(2)) at...
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- If y=acost,x=asint, then find (d^(2)y)/(dx^(2)) at t=pi/3.
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- If y=5cosx-3sinx,then prove that (d^(2)y)/(dx^(2))+y=0
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- If (x-a)^(2)+(y-b)^(2)=c^(2), then prove that ([1+((dy)/(dx))^(2)]^(3/...
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- If f(x)=|x|^(3), then show that f''(x) exists for all real x and find ...
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- If x=asec^(3)theta,y=atan^(3)theta then find (d^(2)y)/(dx^(2)) at thet...
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