Home
Class 12
MATHS
From first principle find the derivative...

From first principle find the derivatives of each of the following functions w.r.t.x :
`sin(sqrt(x))`

Text Solution

Verified by Experts

The correct Answer is:
`cos(sqrt(x))xx(1)/(sqrt(x)xxsqrt(x))=(1)/(2sqrt(x))*cos(sqrt(x))`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    CHHAYA PUBLICATION|Exercise Multiple Choice Type Questions|14 Videos

  • DIFFERENTIATION

    CHHAYA PUBLICATION|Exercise Very short Answer Type Questions|38 Videos

  • DIFFERENTIATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion-Reason Type)|2 Videos

  • DIFFERENTIAL EQUATIONS OF THE FIRST ORDER AND FIRST DEGREE

    CHHAYA PUBLICATION|Exercise E ASSERTION-REASON TYPE|2 Videos

  • DIRECTION COSINES AND DIRECTION RATIOS

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

From first principle find the derivatives of each of the following functions w.r.t.x: log (sin x)

From first principle find the derivatives of each of the following functions w.r.t.x: tan^(-1)x

From first principle find the derivatives of each of the following functions w.r.t.x: cos(logx)

Find the derivatives of each of the following functions w.r.t. x: sin^(3)x

Find from the first principle, the derivatives of the following functions w.r.t. x : x cos x

Find the derivative of the following functions w.r.t.x: cos (In x)

Find the derivative of the following functions w.r.t.x: (tanx)^(x)

Find the seconds derivatives of each of the following functions w.r.t.x: cotx

Find the seconds derivatives of each of the following functions w.r.t.x: x^5-6x

Find the seconds derivatives of each of the following functions w.r.t.x: tan^-1x

CHHAYA PUBLICATION-DIFFERENTIATION-Example
  1. Find from the definition, the derivatives of log(sinx)

    Text Solution

    |

  2. Find from the definition, the derivatives of cos(logx)

    Text Solution

    |

  3. From first principle find the derivatives of each of the following fun...

    Text Solution

    |

  4. If f (x) is differentiable at x = h , find the value of lim(s to ...

    Text Solution

    |

  5. Find from difinition the derivatives of x^(2)e^(x)

    Text Solution

    |

  6. Find from difinition the derivatives of x sin x

    Text Solution

    |

  7. Find from definition the derivatives of x^(2)cosx

    Text Solution

    |

  8. Find from definition the derivatives of (1)/(f(x))

    Text Solution

    |

  9. Find from definition the derivatives of 3sqrt(cos x)

    Text Solution

    |

  10. Find the derivatives of e^sqrt(cot x)

    Text Solution

    |

  11. Given, f (x) =(x-1)/(2x^(2)-7x+5)' when x ne 1 =-(1)/(3) when...

    Text Solution

    |

  12. A function f (x) is defined as follows : f (x) = 3 + 2x , when -(...

    Text Solution

    |

  13. If f(x)=|x-2|+1 , evaluate lim(xto2+)(f(x)-f(2))/(x-2) and lim(xt...

    Text Solution

    |

  14. The function f satisfies the equation f(x+y) = f (x) f (y) for all ...

    Text Solution

    |

  15. Differentiate the following functions with respect to x : 2x^(a)-...

    Text Solution

    |

  16. Differentiate the following functions with respect to x : 2x^(4)-(...

    Text Solution

    |

  17. Differentiate the following functions with respect to x : (x^(3)-4x...

    Text Solution

    |

  18. Differentiate the following functions with respect to x : 2log(3)...

    Text Solution

    |

  19. Differentiate the following functions with respect to x : 3secx-4co...

    Text Solution

    |

  20. Differentiate the following functions with respect to x : sin2(x)/...

    Text Solution

    |