Home
Class 11
MATHS
f(x)=|x^2-3|x|+2|dot Then which of the f...

`f(x)=|x^2-3|x|+2|dot` Then which of the following is/are true `f^(prime)(x)=2x-3` for `x` in `(0,1)uu(2,oo)`
`f^(prime)(x)=2x+3` for `x` in `(-oo,-2)uu(-1,0)`
`f^(prime)(x)=-2x-3` for `x` in (-2,-1)`
None of these

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos
  • LINEAR INEQUALITIES

    CENGAGE PUBLICATION|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

If f(x)=x|x|, then prove that f^(prime)(x)=2|x|

If f(x)=x^2-3x+1 , then find f(-2)

If f(x)=x^2-3x+1 , then find f(0) .

If f(x)=3x^2-x+1 , then find f(-2) .

If f(x+1)=2x^(2)-3x-1 , then f(0) =

Which of the following function from Z to itself are bijections? f(x)=x^3 (b) f(x)=x+2 f(x)=2x+1 (d) f(x)=x^2+x

If f^(prime)(x)=sqrt(2x^2-1) and y=f(x^2),t h e n(dy)/(dx) at x=1 is (a)2 (b) 1 (c) -2 (d) none of these

f^(prime)(x)=phi(x) and phi^(prime)(x)=f(x) for all x. Also, f(3)=5 and f^(prime)(3)=4 . Then the value of [f(10)]^2-[phi(10)]^2 is _____

If f(x)a n dg(x) are differentiable functions for 0lt=xlt=1 such that f(0)=10 ,g(0)=2,f(1)=2,g(1)=4, then in the interval (0,1)dot (a) f^(prime)(x)=0 for a l lx (b) f^(prime)(x)+4g^(prime)(x)=0 for at least one x (c) f(x)=2g'(x) for at most one x (d) none of these

If f(x+3) = 2x^2-3x-1 , find the value of f(x+1).

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. Let y=sqrt(x+sqrt(x+sqrt(x+oo))) , (dy)/(dx) is equal to (a)1/(2y-...

    Text Solution

    |

  2. If y=sqrt(sinx+y), then find (dy)/(dx)

    Text Solution

    |

  3. f(x)=|x^2-3|x|+2|dot Then which of the following is/are true f^(prime)...

    Text Solution

    |

  4. If xsqrt(1+y)+ysqrt(1+x)=0, prove that dy/dx=(-1)/((1+x)^2

    Text Solution

    |

  5. If x^3-2x^2y^2+5x+y-5=0 and y(1)=1, then (a)y^(prime)(1)=4/3 (b) y...

    Text Solution

    |

  6. If x^y=e^(x-y), Prove that dy/dx=logx/(1+logx)^2

    Text Solution

    |

  7. Let f(x)=(sqrt(x-2sqrt(x-1)))/(sqrt(x-1)-1)xdot Then (a)f^(prime)(10...

    Text Solution

    |

  8. If sqrt(x) +sqrt(y)=4, f i n d (dx/dy) a t (y = 1).

    Text Solution

    |

  9. If y=(x^4-x^2+1)/(x^2+sqrt(3)x+1) and (dy)/(dx)=a x+b , then the value...

    Text Solution

    |

  10. If x y+y^2=tanx+y ,then find (dy)/(dx)

    Text Solution

    |

  11. Find (dy)/(dx) for y=sin^(-1)(cosx)

    Text Solution

    |

  12. If y=sqrt(x+sqrt(y+sqrt(x+sqrty+...oo))) then (dy)/(dx) equal to

    Text Solution

    |

  13. If y=x^(logx)^(("log"(logdotx))),t h e n(dy)/(dx)i s y/x(1n x^(oox-1)...

    Text Solution

    |

  14. If y=sqrt(sinx+sqrt(sinx+sqrt(sinx+ tooo))) ,prove that (dy)/(dx)=(cos...

    Text Solution

    |

  15. The n t h derivative of x e^x vanishes when (a)x=0 (b) x=-1 (c)...

    Text Solution

    |

  16. If x=a(cost+1/2logtan^2t) and y=asint then find (dy)/(dx) at t=pi/4

    Text Solution

    |

  17. or,find the derivatives of tan^(-1) ((sqrt(1+x^2)-1)/x) with respect t...

    Text Solution

    |

  18. If x^m y^n=(x+y)^(m+n),p rov et h a t(dy)/(dx)=y/xdot

    Text Solution

    |

  19. Let g(x)=f(x)sinx ,w h e r ef(x) is a twice differentiable function on...

    Text Solution

    |

  20. If x=acos^3theta,y=a sin^3theta,then find the value of (d^2y)/(dx^2) a...

    Text Solution

    |