Home
Class 12
MATHS
if f(x) ={underset( cos x " "x le 0)(...

` if f(x) ={underset( cos x " "x le 0)((x+lambda)^(2) " " x lt 0).` find possible values of `lambda` such that f(x) has local maxima at x=0

Text Solution

Verified by Experts

The correct Answer is:
`lambda in [-1,1)`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise -1A|5 Videos

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise -1B|6 Videos

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise High Level Problems (HLP)|33 Videos

  • COMBINATORICS

    RESONANCE|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|8 Videos

Similar Questions

Explore conceptually related problems

f(x)={(x+lambda)^(2),x<0 and cos x,x<=0 find possible values of a such that f(x) has local maxima at x=0.

Let f(x) ={underset(x^(2) +xb " " x ge1)(3-x " "0le x lt1). Find the set of values of b such that f(x) has a local minima at x=1.

Let f(x) ={underset( 3 sin x " " x le 0)(X^(3) +X^(2) -10X " " X lt0). Examine the behaviour of f(x) at =0

if f(x) =[underset(-x " ", " " x gt 1) (-sqrt(1-x^(2))" "," " 0 le x le 1), then

If f (x) {{:((1 - cos 8 x )/(x^(2)) "," x ge 0 ),(lambda ", " x lt 0 ) :} is continous at x = 0 than lambda = ?

" if " f(x) ={ underset( 5x" "2 le x le 3) (3x+ 4,0 le x le 2), then int_(0)^(3) f(x) dx=?

If f(x)={:{(1-x", for " 0 lt x le 1), ( 1/2 ", for " x=0):} , then in [0, 1]

f(x)={{:(,[x]+[-x], x ne 0),(,lambda,x=0):} Find the value of lambda , f is continuous at x=0?

If f(x)=lambda|sin x|+lambda^(2)|cos x|+g(lambda) has a period =(pi)/(2) then find the value of lambda

RESONANCE-APPLICATION OF DERIVATIVES-Self Practice Problems
  1. For each of the following graph comment on monotonically of f(x) ...

    Text Solution

    |

  2. Let f(x)=x^3-3x^2+ 3x + 4, comment on the monotonic behaviour of f(x) ...

    Text Solution

    |

  3. Draw the graph of function f(x)={underset([x] " "1 le x le 2)(x " ...

    Text Solution

    |

  4. In each of following graphs identify if x= a is point of local maxi...

    Text Solution

    |

  5. Examine the graph of following functions in each case identify the p...

    Text Solution

    |

  6. Find the points of local maxima or minima of following functions...

    Text Solution

    |

  7. Let f(x) =x^(3) =x^(2) -x-4 (i) find the possible points of maxim...

    Text Solution

    |

  8. Let f(x) =x +(1)/(x). find local maximum and local minimum value ...

    Text Solution

    |

  9. if f(x) ={underset( cos x " "x le 0)((x+lambda)^(2) " " x lt 0). ...

    Text Solution

    |

  10. Let f(x) = sin x (1+cos x) , x in (0,2pi). Find the number of criti...

    Text Solution

    |

  11. Find the two positive numbers x and y whose sum is 35 and the ...

    Text Solution

    |

  12. A square piece of tin of side 18 cm is to be made into a box withou...

    Text Solution

    |

  13. A square piece of tin of side 18 cm is to be made into a box withou...

    Text Solution

    |

  14. The maximum distance of the centre of the ellipse x^2/(81)+y^2/(25)=1 ...

    Text Solution

    |

  15. A line is drawn passing through point P(1,2) to cut positive coord...

    Text Solution

    |

  16. Two towns A and B are situated on the same side of a straight road at ...

    Text Solution

    |

  17. if f (x) satisfies condition in Rolle's theorem then show that betw...

    Text Solution

    |

  18. Show that for any real numbers lambda, the polynomial P(x)=x^7+x^3+lam...

    Text Solution

    |

  19. Using LMVT, prove that if two functions have equal derivatives at all ...

    Text Solution

    |

  20. if a function f is (i) continuous on [a,b] (ii) derivable on (a,b...

    Text Solution

    |