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

If `f(x)=x^3+a x^2+b x+5sin^2x\ ` is a strictly increasing function on the set of real numbers then `a` and `b` must satisfy the relation:

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RD SHARMA ENGLISH-INCREASING AND DECREASING FUNCTION -All Questions
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  3. If f(x)=x^3+a x^2+b x+5sin^2x\ is a strictly increasing function ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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