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

Differentiate each of the following from first principle: `x^2sinx`

Text Solution

AI Generated Solution

To differentiate the function \( f(x) = x^2 \sin x \) using the first principle of derivatives, we follow these steps: ### Step 1: Define the derivative using the first principle The derivative \( f'(x) \) is defined as: \[ f'(x) = \lim_{h \to 0} \frac{f(x + h) - f(x)}{h} \] ...
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 sin x

Differentiate each of the following from first principle: tan2x

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

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

Differentiate each of the following from first principle: kx^(n)

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

Differentiate each of the following from first principle: x^(2)+x+3

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

Differentiate each of the following from first principle: sin(2x-3)

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

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

    Text Solution

    |

  2. Differentiate each of the following from first principle: sqrt(sin2x)

    Text Solution

    |

  3. Differentiate each of the following from first principle: x^2sinx

    Text Solution

    |

  4. Differentiate each of the following from first principle: x^2e^x

    Text Solution

    |

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

    Text Solution

    |

  6. Differentiate each of the following from first principle: tan^2x

    Text Solution

    |

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

    Text Solution

    |

  8. Differentiate each of the following from first principle: (sin x)/x

    Text Solution

    |

  9. Differentiate each of the following from first principle: sqrt(sin(3x+...

    Text Solution

    |

  10. Differentiate each of the following from first principle: e^(x^2+1)

    Text Solution

    |

  11. Differentiate each of the following from first principle: a^(sqrt(x))

    Text Solution

    |

  12. Differentiate each of the following from first principle: tan(2x+1)

    Text Solution

    |

  13. Differentiate each of the following from first principle: cossqrt(x)

    Text Solution

    |

  14. Differentiate the following from first principle: tan2x

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |