Home
Class 12
MATHS
Find the derivative of the function f...

Find the derivative of the function `f` defined by `f(x)=m x+c` at `x=0` .

Text Solution

Verified by Experts

Given that,
`f(x)=m x+c`
`(dy)/(dx)=m`
Thus,`(dy)/(dx)` at `x=0` is `m` .
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    RD SHARMA|Exercise Solved Examples And Exercises|403 Videos
  • DIFFERENTIAL EQUATION

    RD SHARMA|Exercise Solved Examples And Exercises|634 Videos

Similar Questions

Explore conceptually related problems

Find the derivative of the function f defined by f(x)=mx+c at x=0.

Is the function defined by f(x)=|x|

Find the derivative of the function given by f(x)=sin(x^(2))

Find the derivative at x=2 of the function f(x)=3x

Find the derivative at x = 2 of the function f(x)=4x .

Find the derivative of f(x)= tanx at x=0.

Find the derivatives of the following (1-3) functions : f(x) = x+a

Find the value of a if the function f(x) defined by f(x)={2x-a,x 2 if function continuous at x=2

Discuss the continuity of the function defined by f(x)={x+2, if x 0

Examine the origin for continuity G derivability in the case of the function f defined by f(x)=x tan^(-1)((1)/(x)),x!=0 and f(0)=0

RD SHARMA-DIFFERENTIABILITY-Solved Examples And Exercises
  1. If for the function "Phi"(x)=lambdax^2+7x-4,\ \ "Phiprime^"(5)=97 , fi...

    Text Solution

    |

  2. If f(x)=x^3+7x^2+8x-9 , find f\ '\ (4) .

    Text Solution

    |

  3. Find the derivative of the function f defined by f(x)=m x+c at x=0 ...

    Text Solution

    |

  4. Examine the differentiability of the function f defined by f(x)={2x...

    Text Solution

    |

  5. Write an example of a function which is everywhere continuous but f...

    Text Solution

    |

  6. Discuss the continuity and differentiability of f(x)=|log|x|| .

    Text Solution

    |

  7. Discuss the continuity and differentiability of f(x)=e^(|x|) .

    Text Solution

    |

  8. Discuss the continuity and differentiability of f(x)={(x-c)cos(1/(x...

    Text Solution

    |

  9. Is |sinx| differentiable? What about cos|x| ?

    Text Solution

    |

  10. Define differentiability of a function at a point.

    Text Solution

    |

  11. Is every differentiable function continuous?

    Text Solution

    |

  12. Is every continuous function differentiable?

    Text Solution

    |

  13. Give an example of a function which is continuous but not different...

    Text Solution

    |

  14. If f(x) is differentiable at x=c , then write the value of (lim)(x-...

    Text Solution

    |

  15. If f(x)=|x-2| write whether f\ '\ (2) exists or not.

    Text Solution

    |

  16. Write the points where f\ (x)=|(log)e x| is not differentiable.

    Text Solution

    |

  17. Write the points of non-differentiability of f(x)=|log|x|| .

    Text Solution

    |

  18. Write the derivative of f\ (x)=|x|^3 at x=0 .

    Text Solution

    |

  19. Write the number of points where f(x)=|x|+|x-1| is continuous but n...

    Text Solution

    |

  20. If (lim)(x->c)(f(x)-f(c))/(x-c) exists finitely, write the value of...

    Text Solution

    |