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Find dy/dx if y = x.siny...

Find `dy/dx` if `y = x.siny`

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RD SHARMA ENGLISH-MAXIMA AND MINIMA-All Questions
  1. The sum of the surface areas of a sphere and a cube is given. Show tha...

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  2. The given quantity of metal is to be cost into a half cylinder with a ...

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  3. Find dy/dx if y = x.siny

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  4. A straight line is drawn through a given point P(1,4)dot Determine the...

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  5. The total area of a page is 150c m^2dot The combined width of the marg...

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  6. The space s described in time t by a particle moving in a straight ...

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  7. A particle is moving in a straight line such that its distance s at an...

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  8. Write necessary condition for a point x=c to be an extreme point ...

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  9. Write sufficient conditions for a point x=c to be a point of local ...

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  10. If f(x) attains a local minimum at x=c , then write the values of ...

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  11. Write the minimum value of f(x)=x+1/x ,\ \ x >0

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  12. Write the maximum value of f(x)=x+1/x ,\ \ x<0 .

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  13. Write the point where f(x)=x\ (log)e x attains minimum value.

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  14. Find the least value of f(x)=a x+b/x , where a >0,\ \ b >0 and x >0...

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  15. Write the minimum value of f(x)=x^x .

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  16. Write the maximum value of f(x)=x^(1//x) .

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  17. Write the maximum value of f(x)=(logx)/x , if it exists.

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  18. The maximum value of x^(1/x),x &gt;0 is (a)e^(1/e) (b) (1/e)^e (c)...

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  19. If a x+b/xgeqc for all positive x where a ,\ b ,\ >0 , then a b<(c^2)/...

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  20. The minimum value of x/((log)e x) is e (b) 1//e (c) 1 (d) none of thes...

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