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The function f(x) = x- cosx, is increasi...

The function `f(x) = x- cosx`, is increasing in....... A) (`pi`/2, `pi`) B) (0,`pi`) C) (0,`pi`/2) D) All of these

A

((`pi`)/2, `pi`)

B

(0,`pi`)

C

(0,(`pi`)/2)

D

All of these

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CHETANA PUBLICATION-Applications of Derivatives-Exercise
  1. The values of x for which f(x)= 2x^3-15x^2+ 36x+5 is decreasing, are.....

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  2. If f(x) = x-sqrt x is increasing in the interval..

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  3. The function f(x) = x- cosx, is increasing in....... A) (pi/2, pi) B)...

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  4. The function f(x) =x^3-3x^2+3x-100, x in R is....... A) increasing B)...

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  5. At x=-1, the function f(x) = 2x^3-3x^2-12x+12 is...... A) maximum B) m...

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  6. Function f(x) = x^2-3x+4 has minimum value at..... A) x= 0 B) x= -3/...

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  7. If the sum of the two numbers is 15 and the sum of their squares is mi...

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  8. Two numbers x and y such that x + y=2 and x^3y is maximum, are...... A...

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  9. A closed right circular cylinder of given total surface area, has maxi...

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  10. The function f(x) = x^x is minimum at x=...... A) e B) -e C) 1/e D)...

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  11. The equation of tangent to the curve y=x^2 +4x+ 1 at (-1, 1) is...... ...

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  12. Function f(x) = 2x^3-3x^2-12x +2 has minimum at the point…………

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  13. Find the approximate value of (4.01)^3

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  14. Show that the function f(x)= x^3+10x +7 is increasing for all x in R.

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  15. A particle moves according to the law s=t^3-6t^2+9t+ 15. Find the velo...

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  16. Divide the number 20 into two parts such that their product is maximum...

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  17. Find the equation of tangent to the curve at point sqrt x-sqrt y =1 at...

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  18. The length x of a rectangle is increasing at the rate of 3 m/sec and t...

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  19. Find the value of x such that f(x)=x^4-2x^3+1 is decreasing function.

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  20. Check the applicability of Rolle's theorem for f(x) = (x-1) (2x-3), x ...

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