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Show that f(x)=x^2-xsinx is an increasin...

Show that `f(x)=x^2-xsinx` is an increasing function on `(0,\ pi//2)` .

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RD SHARMA ENGLISH-INCREASING AND DECREASING FUNCTION -All Questions
  1. Prove that the function f(x)=cosx is strictly increasing in (pi,\ 2pi)

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  2. Prove that the function f(x)=cosx is neither increasing nor decreas...

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  3. Show that f(x)=x^2-xsinx is an increasing function on (0,\ pi//2) .

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  4. Find the value(s) of a for which f(x)=x^3-a x is an increasing functio...

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  5. Find the values of b for which the function f(x)=sinx-b x+c is a decre...

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  6. Show that f(x)=x+cosx-a is an increasing function on R for all values ...

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  7. Find the second order derivative of cotx with respect to x

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  8. Find the intervals in which f(x)=x|x|,\ \ x in R is increasing or dec...

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  9. Find the intervals in which f(x)=sinx+|sinx| is increasing or decreasi...

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  10. Find the derivative of x^sinx with respect to x

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  11. What are the values of ' a ' for which f(x)=a^x is increasing on R

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  12. What are the values of ' a ' for which f(x)=a^x is decreasing on R

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  13. Write the set of values of ' a ' for which f(x)=(log)a x is increasing...

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  14. Write the set of values of ' a ' for which f(x)=(log)a x is decreasing...

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  15. Find ' a ' for which f(x)=a\ (x+sinx)+a is increasing on R .

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  16. Find the values of ' a ' for which the function f(x)=sinx-a x+4 is inc...

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  17. Find the set of values of ' b ' for which f(x)=b(x+cosx)+4 is decreasi...

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  18. Find the set of values of ' a ' for which f(x)=x+cosx+a x+b is increas...

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  19. Write the set of values of k for which f(x)=k x-sinx is increasing on ...

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  20. If g(x) is a decreasing function on R and f(x)=tan^(-1){g(x)} . State ...

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