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Write the interval in which f(x)=sinx+co...

Write the interval in which `f(x)=sinx+cosx ,\ \ x in [0,\ pi//2]` is increasing.

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RD SHARMA ENGLISH-INCREASING AND DECREASING FUNCTION -All Questions
  1. If g(x) is a decreasing function on R and f(x)=tan^(-1){g(x)} . State ...

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  2. Write the set of values of a for which the function f(x)=a x+b is decr...

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  3. Write the interval in which f(x)=sinx+cosx ,\ \ x in [0,\ pi//2] is in...

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  4. State whether f(x)=tanx-x is increasing or decreasing its domain.

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  5. Write the set of values of a for which f(x)=cosx+a^2\ x+b is strictly ...

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  6. The interval of increase of the function f(x)=x-e^x+tan(2pi//7) is (a)...

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  7. The function f(x)=cot^(-1)x+x increases in the interval (a) (1,\ oo) ...

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  8. The function f(x)=x^x decreases on the interval (a) (0,\ e) (b) (0,\ ...

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  9. The function f(x)=2log(x-2)-x^2+4x+1 increases on the interval (a) (1,...

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  10. If the function f(x)=2x^2-k x+5 is increasing on [1,\ 2] , then k lies...

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  11. If f(x)=x^3+a x^2+b x+5sin^2x\ is a strictly increasing function ...

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  12. The function f(x)=(log)e(x^3+sqrt(x^6+1)) is of the following types: (...

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  13. If the function f(x)=2tanx+(2a+1)(log)e|secx|+(a-2)x is increasing on ...

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  14. Find the derivative of the function f(x)=tan^(-1)(g(x)) with respect t...

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  15. Let f(x)=x^3-6x^2+15 x+3 . Then, (a) f(x)>0 for all x in R (b) f(x)>...

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  16. The function f(x)=x^2\ e^(-x) find the derivative with respect to x

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  17. Function f(x)=cosx-2\ lambda\ x is monotonic decreasing when (a) lambd...

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  18. In the interval (1,\ 2) , function f(x)=2|x-1|+3|x-2| is (a) monotonic...

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  19. Function f(x)=x^3-27 x+5 is monotonically increasing when (a) x<-3 (b...

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  20. Function f(x)=2x^3-9x^2+12 x+29 is monotonically decreasing when (a) x...

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