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BODY BOOKS PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
- Check the continuity of the function given by f(x)={(xsinfrac1x,xne0),...
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- Verify mean value theorem for the function f(x)=x+frac1x in the interv...
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- Find the derivative of y=x^a+a^x with respect to x.
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- Find dy/dx if x=acos^3t , y=asin^3t
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- If e^y(x+1)=1 , show that (d^2y)/(dx^2)=(dy/dx)^2
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- The function f(x)={(5,xle2),(ax+b,2lexle10),(21,xge10):} is continuous...
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- Find dy/dx if y=sin(x^sinx)
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- If y=ae^(mx)+be^(nx) , show that (d^2y)/(dx^2)-(m+n)dy/dx+mny=0
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- Show that the function f(x) defined by f(x)=sin(cosx) is a continuous ...
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- If dy/dx=1/(dx/dy) , Show that (d^2y)/(dx^2)=(-(d^2x)/dy^2)/((dx/dy)^3...
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- Let y=x^sinx+(sinx)^x . Find dy/dx
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- Given, y=sqrt(tan^-1x show <be> 2(1+x^2)ydy/dx=1
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- Given, y=sqrt(tan^-1x show <be> (1+x^2)y(d^2y)/(dx^2)+(1+x^2)(dy/dx)^2...
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- Consider the function f(x)=absx , x in R Show that the function is c...
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- Establish that g(x)=1-x+absx is continious at origin.
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- Check whether h(x)=abs(1-x+absx) is continious at origin.
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- Find dy/dx if y=sin(x^3+7).
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- Find dy/dx if x=a(t-sin t),y=a(1-cost).
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- If y=a cos(log x)+b sin(logx), Prove that x^2y2+xy1+y=0.
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- Find dy/dx of e^(x^3).
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