Home
Class 12
MATHS
f(x)={cos((pix)/2),x >0, x...

`f(x)={cos((pix)/2),x >0, x+a ,xlt=0` Find the values of `a` if `x=0` is a point of maxima.

Promotional Banner

Topper's Solved these Questions

  • 3D COORDINATION SYSTEM

    CENGAGE PUBLICATION|Exercise DPP 3.1|11 Videos

  • APPLICATION OF INTEGRALS

    CENGAGE PUBLICATION|Exercise All Questions|143 Videos

Similar Questions

Explore conceptually related problems

The funtion f(x)=(log(1+ax)-log(1-bx))/x is not define at x=0. Find the value of f(0),so that f(x)is continuous at x=0.

Define the continuity of a function at a point within its domain of definition. The definition of a function is given below: f(x)={{:((1-cos5x)/(x^(2))," when "(xne0)),(k," when x = 0"):} Find the value of k for which f(x) is continuous at x = 0.

Given, f(x) =(log(1+x^(2) tanx))/(sin x^(3)) , when x ne 0 . Find the assigned value of f(0), if f(x) is to be continuous at x=0.

The curve f(x)=(x^2+a x+b)/(x-10) has a stationary point at (4,1) . Find the values of a and b . Also, show that f(x) has point of maxima at this point.

If f(x)={(1-cos(1-cos x/2))/(2^m x^n)1x=0,x!=0 and f(0)=1 is continuous at x=0 then the value of m+n is a. 2 b. 3 c. -3 d. 7

If the function f(x)={{:((1-cos(ax))/(x^2)," when "xne0),(1," when "x=0):} be continuous at x=0, then find the value of a.

Let f(x)={((sin pix)/(5x),"when "x ne 0),(k,"when "x=0):} If f(x) is continuous at x=0, then the value of k is -

Let f(x)={{:((sin(a+1)x+sinx)/(x)",","when " xlt0),(" c,","when "x=0),(((x+bx^(2))^((1)/(2))-x^((1)/(2)))/(bx^((3)/(2)))",","when "xgt0):} If f (x) is continuous at x =0 , determine the values of a , b and c .

Let f(x)={(x^2|cos"pi/x|, x ne0),(0, x=0):} , x in R , then f is

If f'(x)=f(x)+ int_(0)^(1)f(x)dx , given f(0)=1 , then find the value of f(log_(e)2) is

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. f(x)=|a x-b|+c|x|AAx in (-oo,oo), where a >0, b >0,c > 0. Find the con...

    Text Solution

    |

  2. Find the shortest distance between the line y=x-2 and the parabola y=x...

    Text Solution

    |

  3. f(x)={cos((pix)/2),x >0, x+a ,xlt=0 Find the values of ...

    Text Solution

    |

  4. If 1^0=alpha radians, then find the approximate value of cos60^0 1^(pr...

    Text Solution

    |

  5. If f(x)={{:(x^2,xlt=0) , (2sinx ,x >0):}' .Investigate the function at...

    Text Solution

    |

  6. If in a triangle ABC, the side c and the angle C remain constant while...

    Text Solution

    |

  7. If the function y=f(x) is represented as x=phi(t)=t^5-5t^3-20 t+7, ...

    Text Solution

    |

  8. Find the approximate value of(0. 0037)^(1/2) .

    Text Solution

    |

  9. Find the range fo the function f(x)=(x^(2)-x-6)/(x-3)

    Text Solution

    |

  10. Find the approximate value of (26)^(1/3) .

    Text Solution

    |

  11. Discuss the extremum of f(x)=asecx+bcos e cx ,0ltaltb

    Text Solution

    |

  12. Find the approximate change in the volume V of a cube of side x meters...

    Text Solution

    |

  13. Discuss the extrema of f(x)=x/(1+xtanx),x in (0,pi/2)

    Text Solution

    |

  14. Find the approximate value of f(5. 001), where f(x)=x^3-7x^2+15.

    Text Solution

    |

  15. Let f(x)=a/x+x^2dot If it has a maximum at x=-3, then find the value o...

    Text Solution

    |

  16. In a triangle ABC if the sides a, b be constant and the base angles A ...

    Text Solution

    |

  17. If t is a real number satisfying the equation 2t^3-9t^2+30-a=0, then f...

    Text Solution

    |

  18. Find the approximate value of f(3. 02), where f(x)=3x^2+5x+3.

    Text Solution

    |

  19. Prove that there exist exactly two non-similar isosceles triangles A B...

    Text Solution

    |

  20. If the radius of a sphere is measured as 9cm with an error of 0.03 cm,...

    Text Solution

    |