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Find the intervals in which the function...

Find the intervals in which the function `f` given by `f(x)=x^2-4 x+6` is (a) strictly increasing (b) Strictly decreasing

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V PUBLICATION-APPLICATION OF DERIVATIVES-QUESTION BANK
  1. Show that the function F given by f(x)=x^3-3x^2+4x,x in R is stri...

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  2. Prove that the function given by f(x)=cos x is (a) Strictly decreasin...

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  3. Find the intervals in which the function f given by f(x)=x^2-4 x+6 is ...

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  4. Find the intervals in which the function f given by f(x)=4 x^3-6 x^2-7...

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  5. Find the interval in which the function f(x)=sinx+cosx, 0lexle2pi is s...

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  6. Show that the function given by f(x)=3x+17 is strictly increasing on R...

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  7. Show that the function given by f(x)=e^(2x) is strictly increasing on...

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  8. Show that the function given by f(x)=sin x is a) strictly increasing ...

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  9. Find the intervals in which the function f given f(x)=2x^2-3x is Str...

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  10. Find the intervals in which the function f given by f(x)=2x^3-3x^2-36x...

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  11. Show that y = log(1+x)-(2x)/(2+x) ,x>-1 is an increasing function of x...

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  12. Find the value of x for which y=[x(x-2)]^2 is an increasing function.

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  13. Prove that y=(4 sin theta)/((2+cos theta))-theta is an increasing func...

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  14. Prove that the logarithmic function is strictly increasing on (0,oo)

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  15. Prove that the function f given by f(x)=x^2-x+1 is neither strictly in...

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  16. Which of the following functions are strictly decreasing on '(0, pi/2)...

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  17. On which of the following intervals is the function f given by f(x)=x^...

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  18. Find the least value of a such that the function f given by f(x)=x^2+a...

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  19. Let I be any interval disjoint from (-1,1) Prove that the function f g...

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  20. Prove that the function f(x)=logsinx is strictly increasing in (0,pi/2...

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