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Let f(x)=x^3-6x^2+15 x+3 . Then, (a) f(x...

Let `f(x)=x^3-6x^2+15 x+3` . Then, (a) `f(x)>0` for all `x in R` (b) `f(x)>f(x+1)` for all `x in R` (c) `f(x)` is invertible (d) `f(x)<0` for all `x in R`

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RD SHARMA ENGLISH-INCREASING AND DECREASING FUNCTION -All Questions
  1. If the function f(x)=2tanx+(2a+1)(log)e|secx|+(a-2)x is increasing on ...

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

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

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

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

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

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

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  9. If f(x)=k x^3-9x^2+9x+3 monotonically increasing in R , then (a) k<3 ...

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  10. f(x)=2x-tan^(-1)x-log{x+sqrt(x^2+1)} is monotonically increasing when ...

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  11. Function f(x)=|x|-|x-1| is monotonically increasing when (a) x<0 (b) ...

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  12. Every invertible function is (a) monotonic function          (b) co...

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

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  14. If the function f(x)=cos|x|-2a x+b increases along the entire number s...

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  15. The function f(x)=x/(1+|x|) is (a) strictly increasing (b) strictly...

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  16. The function f(x)=(lambdasinx+2cosx)/(sinx+cosx) is increasing, if (a)...

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  17. Function f(x)=a^x is increasing on R , if (a) a >0 (b) a<0 (c) a<1 ...

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  18. Function f(x)=(log)a x is increasing on R , if (a) a<0 (b) a >1 (c) ...

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  19. Let varphi(x)=f(x)+f(2a-x) and f"(x)>0 for all x in [0,\ a] . Then, va...

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  20. If the function f(x)=x^2-k x+5 is increasing on [2,\ 4] , then (a) k i...

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