Home
Class 12
MATHS
Let f(x) be a function defined as f(x)= ...

Let f(x) be a function defined as `f(x)= {(sin(x^2-3x),xle0),(6x+5x^2,xgt0):}` Then at x=0,f(x)

A

local maxima at x = 0

B

local minima at x = 0

C

global maxima at x = 0

D

global minima at x = 0

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    PATHFINDER|Exercise QUESTION BANK|23 Videos

Similar Questions

Explore conceptually related problems

A function is defined as f(x) = {(e^x, xle0),(|x-1|, x gt0):} , then f(x) is

Let f(x) be a polynomial of degree one and f(x) be a function defined by f(x)={(g(x), x le0), ((1+x)/(2+x)^(1//x), x gt0):} If f(x) is continuous at x=0 and f(-1)=f'(1), then g(x) is equal to :

Let f(x)={(absx, "for",0ltabsxlt=2),(1, "for",x=0):} Then ,at x = 0, f(x) has

A function f (x) is defined as follows : f(x)={{:(3x+1,"for "xle1 ),(3-ax^(2),"for " xgt1):} If f (x) is continuous at x = 1 , find the value of a.

Let f(x) be defined on [-2,2] and is given by f(x)={(-1, -2lexlt0),(x-1, 0lexle2):} and g(x)=f(|x|)+|f(x)|, then find g(x).

f(x) ={{:(0, x=0),(x-3, x gt 0):} The function f(x) is:

A function f (x) is defined as follows: f(x)={{:(x^(4)-3,"when " xle2),(x^(3)+5,"when "xgt2):} Prove that the function f (x) is continuous at x = 2 .

A function f (x) is defined as f(x)={{:(ax+2,"when "xle3),(bx+3,"when " xgt3):} If f (x) is continuous at x =3 then find the relation between a and b .

Let f(x) be defined as f(x)={tan^(-1)alpha-5x^2,0ltxlt1 and -6x ,xgeq1 if f(x) has a maximum at x=1, then find the values of alpha .

PATHFINDER-APPLICATION OF DERIVATIVE-QUESTION BANK
  1. The coordinates of the point on the parabola y^2=8x which is at a mini...

    Text Solution

    |

  2. If f(x)=|x|+|x-1|+|x-2|, then

    Text Solution

    |

  3. Let f(x) be a function defined as f(x)= {(sin(x^2-3x),xle0),(6x+5x^2,x...

    Text Solution

    |

  4. Let f(x)={(2-|x^2+5x+6|,x!=-2),(a^2+1,x=-2):} then value of 'a' so tha...

    Text Solution

    |

  5. Let f(x)={(|x^2-2|,-1lexltsqrt3),(x/sqrt3,sqrt3lexlt2sqrt3),(3-x,2sqrt...

    Text Solution

    |

  6. The minimum value of atan^2x+bcot^2x equals the maximum value of asin^...

    Text Solution

    |

  7. All the possible values of the paramter 'a' so that the function ,f(x)...

    Text Solution

    |

  8. The equation of the tangent to the curve y={(x^2sin"1/x,xne0),(0,x=0):...

    Text Solution

    |

  9. The equation of the normal to the curve y=e^(-2|x| at the point where ...

    Text Solution

    |

  10. If the tangent to the curve 2y^3=ax^2+x^3 at the point (a,a) cuts off ...

    Text Solution

    |

  11. At the point P(a,a^n) on the graph of y=x^n(ninN) in the first quadran...

    Text Solution

    |

  12. The point (s) on the curve y^3+3x^2=12y where line tangent is vertical...

    Text Solution

    |

  13. The area of the triangle formed by the positive x-axis, and the normal...

    Text Solution

    |

  14. The function f satisfying (f(b)-f(a))/(b-a)nef'(x) for any "x"in(a,b) ...

    Text Solution

    |

  15. Suppose that f is differntiable for all x such that f'(x)le2 for all x...

    Text Solution

    |

  16. f(x) is a polynomial of degree 4 with real coefficients such that f(x)...

    Text Solution

    |

  17. If f(x) is differentiable and strictly increasing function, then the v...

    Text Solution

    |

  18. Let f(x)=max{sinx,cosx}AA"x"inR then number of critical points of f(x)...

    Text Solution

    |

  19. If f(x) and g(x) are differentiable functions for 0lexle1 such that f(...

    Text Solution

    |

  20. The number of distinct real root of x^3-3x+1=0 in (1,2) is

    Text Solution

    |