Home
Class 11
MATHS
The derivative of f(x)=xabs(x) at x=-3 i...

The derivative of `f(x)=xabs(x)` at x=-3 is

A

6

B

-6

C

Does not exist

D

0

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFEREMTIAL CALCULUS DIFFERENTIABILITY AND METHODS OF DIFFERENTITAION

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE|73 Videos

  • DIFFEREMTIAL CALCULUS DIFFERENTIABILITY AND METHODS OF DIFFERENTITAION

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 10.4|28 Videos

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (Choose the correct option for the following)|34 Videos

  • DIFFERENTIAL CALCULUS LIMITS AND CONTINUITY

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE|58 Videos

Similar Questions

Explore conceptually related problems

The derivative of f(x) = x |x| at x=-3 is …............ .

The derivative of f (x) = x |x| at x = -3 i s ................

If the derivative of (ax-5)e^(3x) at x=0 is -13, then the value of a is

If the derivative of (ax - 5)e^(3x) at x=0 is -13 , then the value of a is ….......... .

Find the derivative of f(x)=(2x+3)

Find the derivative of f(x) xsinx

PREMIERS PUBLISHERS-DIFFEREMTIAL CALCULUS DIFFERENTIABILITY AND METHODS OF DIFFERENTITAION -SOLUTION TO EXERCISE 10.5
  1. If y=cos(sinx^(2)), " then " (dy)/(dx) " at " x=sqrt(pi/2) is

    Text Solution

    |

  2. If y=mx+c " and " f(0)=f'(0)=1, " then " f(2) is

    Text Solution

    |

  3. If f(x)=xtan^(-1)x, then f'(1) is

    Text Solution

    |

  4. d/dx(e^(x+5logx))

    Text Solution

    |

  5. If the derivative of (ax-5)e^(3x) at x=0 is -13, then the value of a i...

    Text Solution

    |

  6. x=(1-t^(2))/(1+t^(2)), y=(2t)/(1+t^(2)) " then " (dy)/(dx) is

    Text Solution

    |

  7. If x=asintheta " and " y=bcostheta, " then " (d^(2)y)/(dx^(2)) is

    Text Solution

    |

  8. The differential coefficient of log(10)x with respect to log(x)10 is

    Text Solution

    |

  9. If f(x)=x+2, " then " f'(f(x)) at x=4 is

    Text Solution

    |

  10. If y=(1-x)^(2)/x^(2), " then " (dy)/(dx)= is

    Text Solution

    |

  11. If pv = 81, then (dp)/(dv) at v=9 is

    Text Solution

    |

  12. If f(x) = {(x - 5, if xle1),(4x^(2) - 9, if (1ltxlt2),(3x +4, if xg...

    Text Solution

    |

  13. It is given that f'(a) exists,then lim(xrarra)(xf(a) - af(x))/(x - a) ...

    Text Solution

    |

  14. Assertion (A) : f(x)={{:(x+1",", x lt 2), (2x-1",", x ge 2):} then f'(...

    Text Solution

    |

  15. If g(x) = (x^(2)+2x+3), f(x) and f(0)=5 and lim(xrarr0)(f(x)-5)/x = 4 ...

    Text Solution

    |

  16. If f(x)={{:(x+2, -1 lt x lt 3), (5, x=3), (8-x, x gt 3):}, then at x=3...

    Text Solution

    |

  17. The derivative of f(x)=xabs(x) at x=-3 is

    Text Solution

    |

  18. If f(x)={{:(2a-x","" for "-altxlta),(3x-2a","" for "xgea):} then ...

    Text Solution

    |

  19. If f(x)= {(ax^(2)-b, -1<x<1),(1/abs(x), elsewhere)} is differentia...

    Text Solution

    |

  20. The number of points in R in which the function f(x) = abs(x - 1) + ab...

    Text Solution

    |