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Prove that the function f given by f" "(...

Prove that the function f given by `f" "(x)" "=" "log" "cos" "x` is strictly decreasing on `(0,pi/2)` and strictly increasing on `(pi/2,pi)` .

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NCERT GUJARATI-APPLICATION OF DERIVATIVES-EXERCISE 6.2
  1. Find the intervals in which the function f given by f(x)=2x^2-3xis(a) ...

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

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  3. Find the intervals in which the following functions are strictly in...

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  4. Find the interval in which the following function are strictly increas...

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  5. Find the intervals in which the given functions are strictly increasin...

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  6. Find the intervals in which the functions are strictly increasing or ...

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  7. Find the intervals in which the functions are strictly increasing or ...

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

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

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  10. Prove that y=(4sintheta)/((2+costheta)-theta is an increasing function...

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

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  12. Prove that the function f given by f(x) = x ^(2) – x + 1 is neither st...

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  13. Which of the following functions is not decreasing on (0,pi//2)?

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

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

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  16. Let P be an interior point of triangle ABC. Let Q and R be the reflec...

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  17. Prove that the function f given by f" "(x)" "=" "log" "cos" "x is stri...

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  18. Prove that the function f given by f (x) = log |cos x| is decreasing o...

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  19. Prove that the function given by f(x)=x^3-3x^2+3x-100is increasing in...

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  20. The interval in which y=x^2""e^(-x) is increasing is (A) (-oo,""""o...

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