Home
Class 12
MATHS
f:R rarr R,f(x) is differentiable such t...

`f:R rarr R,f(x)` is differentiable such that `ff((x))=k(x^(5)+x).(kne0)` Then f(x) is

A

increasing

B

decreasing

C

either increasing or decreasing

D

non-monotonic

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVE

    FIITJEE|Exercise Assignment Objective (level-2)|20 Videos
  • APPLICATION OF DERIVATIVE

    FIITJEE|Exercise Comprehension|8 Videos
  • APPLICATION OF DERIVATIVE

    FIITJEE|Exercise Assignment subjective (level -2)|15 Videos
  • AREA

    FIITJEE|Exercise Numerical Based|3 Videos

Similar Questions

Explore conceptually related problems

f:R rarr R,f(x) is differentiable such that f(x)=k(x^(5)+x).(kne0) Then f(x) is

f:R rarr R,f(x) is differentiable such that f(x)=k(x^(5)+x).(kne0) Then f(x) is increasing . In the above question k can take value,

f:R rarr R,f(x) is differentiable such that f(f(x))=k(x^(5)+x),k!=0). Then f(x) is always increasing (b) decreasing either increasing or decreasing non-monotonic

If f:R rarr R is a differentiable function such that f(x)>2f(x) for all x in R and f(0)=1, then

Let f:R rarr R be a twice differentiable function such that f(x+pi)=f(x) and f'(x)+f(x)>=0 for all x in R. show that f(x)>=0 for all x in R .

if f:R rarr R is a differentiable function such that f'(x)>2f(x) for all x varepsilon R, and f(0)=1, then

If f:R rarr R be a differentiable function such that f(x+2y)=f(x)+f(2y)+4xy, AA x,y in R , f(2)=10 , then f(3)=?

f:R rarr R;f(x) is continuous function satisfying f(x)+f(x^(2))=2AA x in R, then f(x) is

f:R rarr R;f(x) is continuous function satisfying f(x)+f(x^(2))=2AA x in R, then f(x) is

If f:R rarr R is an odd function such that f(1+x)=1+f(x)x^(2)f((1)/(x))=f(x),x!=0 then find f(x)

FIITJEE-APPLICATION OF DERIVATIVE-Assignment Objective (level-1)
  1. The equation of curve passing through (1,1) in which the subtangent is...

    Text Solution

    |

  2. In the interval [0,1], the function x^(25)(1-x)^(75) takes its maximum...

    Text Solution

    |

  3. f:R rarr R,f(x) is differentiable such that ff((x))=k(x^(5)+x).(kne0) ...

    Text Solution

    |

  4. f:R rarr R,f(x) is differentiable such that f(x)=k(x^(5)+x).(kne0) The...

    Text Solution

    |

  5. If g(x) is a curve which is obtained by the reflection of f(x) = (e^x...

    Text Solution

    |

  6. If the curves x^(2)/a^(2)+ y^(2)/4 = 1 and y^(3) = 16x intersect at r...

    Text Solution

    |

  7. If f(x) = {{:( 3x ^(2) + 12 x - 1",", - 1 le x le 2), (37- x",", 2 lt...

    Text Solution

    |

  8. The function in which Rolle's theorem is verified is:

    Text Solution

    |

  9. f(x)={:{(max g(t), 0let le x , 0le x lepi/2),(min g(t) , xlet lt 0, -p...

    Text Solution

    |

  10. If f''(x)+f'(x)+f^(2)(x)=x^(2) be the differentiable equation of a cur...

    Text Solution

    |

  11. The maximum value of the function f(x)=((1+x)^(0. 6))/(1+x^(0. 6)) in ...

    Text Solution

    |

  12. A is a set containing n(1) elements and B is another set containing n(...

    Text Solution

    |

  13. Let A be the point where the curve 5 alpha ^(2) x ^(3) +10 alpha x ^(2...

    Text Solution

    |

  14. For the curve x^(2)y^(3) = c (where c is a constant), the portion of t...

    Text Solution

    |

  15. Which of the following statements is not true about f(x) = 1+x+ x^(2)/...

    Text Solution

    |

  16. The set of all values a for which f(x) = (a^(2) - 3a+2)(cosx/2)+(a-1)x...

    Text Solution

    |

  17. If f: RvecRa n dg: RvecR are two functions such that f(x)+f^(x)=-xg(x)...

    Text Solution

    |

  18. The largest possible value of the expression f(n) = sinx(1) cosx(2) + ...

    Text Solution

    |

  19. A function g(theta ) = int(0)^(sin^(2)theta) f(x)dx + int(0)^(cos^(2...

    Text Solution

    |

  20. The functio f(x)=tanx+(1)/(x), AA x in (0, (pi)/(2)) has

    Text Solution

    |