Home
Class 11
MATHS
Differentiate each of the following from...

Differentiate each of the following from first principle: `(cos x)/x`

Text Solution

AI Generated Solution

To differentiate the function \( f(x) = \frac{\cos x}{x} \) using the first principle of derivatives, we follow these steps: ### Step 1: Write the definition of the derivative The derivative of a function \( f(x) \) using the first principle is given by: \[ f'(x) = \lim_{h \to 0} \frac{f(x+h) - f(x)}{h} \] ...
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    RD SHARMA|Exercise Solved Examples And Exercises|267 Videos
  • ELLIPSE

    RD SHARMA|Exercise Solved Examples And Exercises|97 Videos

Similar Questions

Explore conceptually related problems

Differentiate each of the following from first principle: x cos x

Differentiate each of the following from first principle: -x

Differentiate each of the following from first principle: x sin x

Differentiate each of the following from first principle: (s in x)/(x)

Differentiate each of the following from first principle: cos sqrt(x)

Differentiate each of the following from first principle: cos(x-(pi)/(8))

Differentiate each of the following from first principle: tan2x

Differentiate each of the following from first principle: (2)/(x)

Differentiate each of the following from first principle: e^(-x)

Differentiate each of the following from first principle: sin(x+1)

RD SHARMA-DERIVATIVES-Solved Examples And Exercises
  1. Differentiate the following from first principle: tan2x

    Text Solution

    |

  2. Differentiate each of the following from first principle: tansqrt(x)

    Text Solution

    |

  3. Differentiate each of the following from first principle: (cos x)/x

    Text Solution

    |

  4. Differentiate each of the following from first principle: sinx+cos x

    Text Solution

    |

  5. Differentiate each of the following from first principle: e^(sqrt(2x))

    Text Solution

    |

  6. Differentiate the following from first principle: 3^(x^2).

    Text Solution

    |

  7. Differentiate each of the following from first principle: sqrt(tanx)

    Text Solution

    |

  8. Differentiate each of the following from first principle: t a n 2x

    Text Solution

    |

  9. Differentiate the following with respect of x : (x^2-3x+2)(x+1)

    Text Solution

    |

  10. Differentiate the following with respect of x :(sqrtx+1/(sqrtx))^3""

    Text Solution

    |

  11. Differentiate the following with respect of x :(sin(x+a))/(cos x)

    Text Solution

    |

  12. Differentiate the following with respect of x : x^4-2sinx+3cosx

    Text Solution

    |

  13. Differentiate the following with respect of x :3^x+x^3+3^3

    Text Solution

    |

  14. Differentiate the following with respect of x :(x^3)/3-2sqrt(x)+5/(x^2...

    Text Solution

    |

  15. Differentiate the following with respect of x : e^(xloga)+e^(alogx)+e^...

    Text Solution

    |

  16. Differentiate the following with respect of x :(2x^2+1)(3x+2)

    Text Solution

    |

  17. Differentiate the following with respect of x :(log)3x+3(log)e x+2tanx

    Text Solution

    |

  18. Differentiate the following with respect of x :(x+1/x)(sqrt(x)+1/(sqrt...

    Text Solution

    |

  19. Differentiate the following with respect of x :((x^3+1)(x-2))/(x^2)

    Text Solution

    |

  20. Differentiate the following with respect of x : a0x^n+a1x^(n-1)+a2x^(n...

    Text Solution

    |