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If `a , b , c` are real numbers, then find the intervals in which `f(x)=|x+a^2a b a c a b x+b^2b c a c b c x+c^2|` is increasing or decreasing.

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RD SHARMA ENGLISH-INCREASING AND DECREASING FUNCTION -All Questions
  1. Show that for a >=1,f(x)=sqrt(3)sinx-cosx-2a x+b is decreasing on Rdot

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  2. Find the values of a for which the function f(x)=(a+2)x^3-3a x^2+9a x-...

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  3. If a , b , c are real numbers, then find the intervals in which f(x)=|...

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  4. Find the intervals in which f(x)=(x-1)^3(x-2)^2 is increasing or decre...

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

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  6. Determine the intervals in which the function f(x)=x^4-8x^3+22 x^2-24 ...

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  7. Find the intervals for which f(x)=x^4-2x^2 increasing or decreasing.

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  8. Determine the values of x for which f(x)=(x-2)/(x+1)x!=-1 is increasin...

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  9. Find the intervals in which f(x)=x/2+2/x , x!=0 is increasing or decre...

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  10. For which values of x , the function f(x)=x/(x^2+1) is increasing and ...

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

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

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

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

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

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

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

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

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

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

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