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If f(x)=x|x|,prove that f'(x)=2|x|....

If f(x)=x|x|,prove that f'(x)=2|x|.

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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 4-EXERCISE
  1. Prove by mathematical induction.1/1.3+1/3.5+1/5.7+....+1/((2n-1)(2n+1)...

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  2. How many different arragements of the letters of the word ALGEBRA can ...

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  3. If the sum of the n term of an AP is n^2 + 2n . which, term will ...

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  4. If z=x+iy and (z-i)/(z+1)is purely imaginary,then show that the point ...

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  5. The equation of the two adjacent sides of a parallelogram are 4x+ 5y =...

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  6. In a rectangle, the co-ordinates of the end point of a diagonal are (2...

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  7. If the straight line dx + cy = cd is perpendicular the line joining th...

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  8. Find the equation of a circle which passes through (0, -3) and (3, -4)...

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  9. Evaluate:lim(xrarr0)(sqrt(1+x^2)-sqrt(1+x))/(sqrt(1+x^3)-sqrt(1+x))

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  10. If f(x)=x|x|,prove that f'(x)=2|x|.

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  11. ‘If x is a whole number and x^2 is even, then x is also an even number...

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  12. ‘If a and b are two odd integer, then (a + b) is an even intege.”—exam...

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  13. One cord is drawn at random a pack of 52 c’ards..Find the probability ...

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  14. Find the mean and variance for the following frequency distributions i...

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  15. Solve : 2cos^2 2thetacos5theta+2=sin^2theta,theta in R.

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  16. If 1/(^5Cr)+1/(^6Cr)+1/(~^4Cr)find the value of r.

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  17. Show that there are 72 ways of selecting 5 letters from the word INDEP...

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  18. The co-ordinate of vertex and focus of a parabola x^2 + by^2 + 2hxy+ 2...

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  19. Prove that the 4 foci of the two ellipses 25x^2+169y^2=4225 and 400x^2...

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  20. Show that the difference of the focal distances of any point on the hy...

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