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Find the intervals in which f(x)=x^8+6x^...

Find the intervals in which `f(x)=x^8+6x^2` is increasing or decreasing.

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`f(x)=x ^8 +6x ^2`
`f ′ ...
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RD SHARMA-INCREASING AND DECREASING FUNCTION -Solved Examples And Exercises
  1. Find the intervals in which f(x)=x^4-4x^3+4x^2+15 is increasing or dec...

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  2. Find the intervals in which f(x)=5x^(3//2)-3x^(5//2),\ \ x >0 is incre...

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  3. Find the intervals in which f(x)=x^8+6x^2 is increasing or decreasing.

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  4. Find the intervals in which f(x)=x^3-6x^2+9x+15 is increasing or decre...

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  5. Find the intervals in which f(x)={x(x-2)}^2 is increasing or decreasin...

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  6. Find the intervals in which f(x)=3x^4-4x^3-12 x^2+5 is increasing or d...

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  7. Find the intervals in which f(x)=3/2x^4-4x^3-45 x^2+51

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  8. Find the intervals in which f(x)=log(2+x)-(2x)/(2+x),\ \ x in R

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  9. Determine the values of x for which the function f(x)=x^2-6x+9 is incr...

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  10. Find the intervals in which f(x)=sinx-cosx , where 0 lt x lt 2pi is in...

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  11. Show that f(x)=e^(2x) is increasing on R .

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  12. Show that f(x)=e^(1//x),\ \ x!=0 is a decreasing function for all x...

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  13. Show that f(x)=(log)a x ,\ \ 0<a<1 is a decreasing function for all ...

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  14. Show that f(x)=sinx is increasing on (0,\ pi//2) and decreasing on (pi...

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  15. Show that f(x)=logsinx is increasing on (0,\ pi//2) and decreasing on ...

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  16. Show that f(x)=x-sinx is increasing for all x in R .

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  17. Show that f(x)=x^3-15 x^2+75 x-50 is an increasing function for all...

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  18. Show that f(x)=cos^2x is a decreasing function on (0,\ pi//2) .

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  19. Show that f(x)=sinx is an increasing function on (-pi//2,\ pi//2) .

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  20. Show that f(x)=cosx is a decreasing function on (0,\ pi) , increasing ...

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