Home
Class 11
MATHS
Differentiate cot (2x+1) from the first ...

Differentiate `cot (2x+1)` from the first principle.

Text Solution

AI Generated Solution

To differentiate \( y = \cot(2x + 1) \) from the first principle, we will follow these steps: ### Step 1: Write the definition of the derivative The derivative of a function \( y \) at a point \( x \) can be defined using the first principle as: \[ \frac{dy}{dx} = \lim_{\Delta x \to 0} \frac{y(x + \Delta x) - y(x)}{\Delta x} \] ...
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    RS AGGARWAL|Exercise Exrescise 28A|13 Videos
  • DIFFERENTIATION

    RS AGGARWAL|Exercise Exrescise 28B|21 Videos
  • DIFFERENTIATION

    RS AGGARWAL|Exercise Exercise 28E|44 Videos
  • CONDITIONAL IDENTITIES INVOLVING THE ANGLES OF A TRIANGLE

    RS AGGARWAL|Exercise EXERCISE 16|12 Videos
  • ELLIPSE

    RS AGGARWAL|Exercise EXERCISE|26 Videos

Similar Questions

Explore conceptually related problems

Differentiate sqrt(sin3x) from the first principle.

Differentiate x cot^(2)x

Differentiate (sinx)/(x) from the first principle .

Differentiate log sin x from the first principles.

Differentiate cos^(-1)(2x+3) from first principles.

Differentiate x^(6) from the first principle.

Differentiate e^(sqrt(tan x)) from first principles

Differentiate x tan^(-1)x from first principles.

Differentiate x^(2) cos x from first principles.

Differentiate cot ^(-1)sqrt(x)

RS AGGARWAL-DIFFERENTIATION-Solved Examples
  1. Differentiate each of the following from first principle: xsinx

    Text Solution

    |

  2. Differentiate (sinx)/(x) from the first principle .

    Text Solution

    |

  3. Differentiate cot (2x+1) from the first principle.

    Text Solution

    |

  4. Find the derivative of each of the following from the first principle ...

    Text Solution

    |

  5. Find the derivative of x^(-3//2) from the first principle .

    Text Solution

    |

  6. Find the derivative of (1)/(x^(2)) from the first principle .

    Text Solution

    |

  7. Differentiate sqrt(sin3x) from the first principle.

    Text Solution

    |

  8. Find the derivative of e^(sqrt(x)) from the first principle.

    Text Solution

    |

  9. Find the derivative of e^(x^(2)) from the first principle.

    Text Solution

    |

  10. Find the derivative of e^(sinx ) from the first principle.

    Text Solution

    |

  11. Differentiate each of the following from the first principle. (i) sq...

    Text Solution

    |

  12. Differentiate each of the following from the first principle . (i) s...

    Text Solution

    |

  13. Find the derivative of the following from the first principle . (i) ...

    Text Solution

    |

  14. Find the derivative of the following from the first principle. (i) s...

    Text Solution

    |

  15. Differentiate x e^x from first principles.

    Text Solution

    |

  16. Differentiate the following functions w.r.t.x from the first principle...

    Text Solution

    |

  17. Differentiate :(i) xe^(x) , (ii) x^(2)e^(x) sin x

    Text Solution

    |

  18. Differentiate :(i) xe^(x) , (ii) x^(2)e^(x) sin x

    Text Solution

    |

  19. Differentiate : x^(2) tan x

    Text Solution

    |

  20. Differentiate (e^(x) sin x + x^(p) cos x)

    Text Solution

    |