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Separate the interval [0,pi/2] into sub ...

Separate the interval `[0,pi/2]` into sub intervals in which function `f(x)=sin^4(x)+cos^4(x)` is strictly increasing or decreasing.

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RD SHARMA ENGLISH-INCREASING AND DECREASING FUNCTION -All Questions
  1. For which values of x , the function f(x)=x/(x^2+1) is increasing and ...

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  2. Find the intervals in which f(x)=(4x^2+1)/x is increasing or decreasi...

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  3. Separate the interval [0,pi/2] into sub intervals in which function f(...

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  4. Show that the function f given by f(x)=tan^(-1)(sinx+cosx), x" ">" "0 ...

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  5. Prove that the function f(x)=tanx-4x is strictly decreasing on (-pi//3...

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  6. Solve: 4x^3-24 x^2+44 x-24 >0 .

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  7. Solve: 1/(x+1)-4/((2+x)^2)>0,\ \ x!=-1,\ -2 .

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  8. Solve: (1-x^2)/(5x-6-x^2)<0

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  9. Sol v e(8x^2+16 x-51)/(2x^2+5x-12)>3

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  10. Solve: (x^2-2x+5)/(3x^2-2x-5)>1/2 .

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  11. Solve: (x^2-2x+24)/(x^2-3x+4)lt=4 .

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  12. Solve: (x^2-4x+7)/(x^2-7x+12)lt=2/3 .

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  13. Show that the function f(x)=2x+3 is strictly increasing function on...

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  14. Show that the function f(x)=x^2 is strictly increasing function on (...

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  15. Show that the function f(x)=a^x ,\ a >1 is strictly increasing on Rdot

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  16. Show that the function f(x)=-3x+12 is strictly decreasing function ...

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  17. Find the derivative of the function f(x)=a^x with respect to x .

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  18. Show that the function f(x)=x^2 is a strictly decreasing function on...

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  19. Show that the function f(x)=x^2 is neither strictly increasing nor ...

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  20. Prove that the function f(x)=(log)e x is increasing on (0,\ oo) .

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