Home
Class 12
MATHS
Differentiate the following w.r.t x.(i) ...

Differentiate the following w.r.t x.(i) `sqrt(3x+2)+(1/(sqrt(2x^2 + 4)))` (ii) `e^(sec^2(x))+3cos^-1(x)` (iii) `log_7(logx)`

Text Solution

Verified by Experts

(i) Let `y=sqrt(3x+2)+1/(sqrt(2x^2+4))`
Differentiating w.r.t.x
`(dy)/dx=(dsqrt(3x+2)+1/(sqrt(2x^2+4)))/dx`
`(dy)/dx=(d(sqrt(3x+2)))/dx+(d(1/(2x^2+4)))/dx`
...
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT ENGLISH|Exercise EXERCISE 5.5|18 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT ENGLISH|Exercise EXERCISE 5.7|17 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT ENGLISH|Exercise EXERCISE 5.8|6 Videos

  • APPLICATION OF INTEGRALS

    NCERT ENGLISH|Exercise EXERCISE 8.2|7 Videos

  • DETERMINANTS

    NCERT ENGLISH|Exercise All Questions|116 Videos

Similar Questions

Explore conceptually related problems

Differentiate the following w.r.t x sqrt(sinx)

Differentiate the following w.r.t x cos 3x

Differentiate the following w.r.t.x. sqrt(x^(2)+x+1)

Differentiate the following w.r.t x x^(5//2)

Differentiate the following w.r.t.x. x^(x^2)

Differentiate the following w.r.t. x: e^(x^3)

Differentiate the following w.r.t x x^(2) +3x +3/x

Differentiate the following w.r.t.x. cos(x^(x))

Differentiate the following w.r.t.x. e^(e^(x))

Differentiate the following w.r.t. x : 3x(2x-1) (x+2)

NCERT ENGLISH-CONTINUITY AND DIFFERENTIABILITY-SOLVED EXAMPLES
  1. Find df/dx if f(x) = (sin x) ^ sin x for all o lt x lt pi .

    Text Solution

    |

  2. Differentiate sin^2xw.r.t e^(cosx).

    Text Solution

    |

  3. Differentiate the following w.r.t x.(i) sqrt(3x+2)+(1/(sqrt(2x^2 + 4))...

    Text Solution

    |

  4. Find f'(x)if f(x)=(sinx)^(sinx)for all 0<x<pi

    Text Solution

    |

  5. Verify Rolles theorem for the function y=x^2+2,a=-2and b = 2.

    Text Solution

    |

  6. Verify the Mean Value Theorm for f(x)=x^2 in the interval [2,4].

    Text Solution

    |

  7. If y=3e^(2x)+2e^(3x). Prove that (d^2y)/(dx^2)-5(dy)/(dx)+6y=0.

    Text Solution

    |

  8. If y=sin^(-1)x, show that (1-x^2)(d^2y)/(dx^2)-x(dy)/(dx)=0.

    Text Solution

    |

  9. Find all the points of discontinuity of the function f defined byf(x)...

    Text Solution

    |

  10. Discuss the continuity of the function f defined byf(x)={x+2ifxlt=1 x-...

    Text Solution

    |

  11. Discuss the continuity of the function f given by f(x)={(x , ifxgeq0),...

    Text Solution

    |

  12. Discuss the continuity of the function defined byf(x)={x+2, if x<0-x+2...

    Text Solution

    |

  13. Find all the points of discontinuity of the greatest integer function...

    Text Solution

    |

  14. Show that every polynomial function is continuous.

    Text Solution

    |

  15. Discuss the continuity of sine function.

    Text Solution

    |

  16. Prove that every rational function is continuous.

    Text Solution

    |

  17. Show that the function defined by f(x) = sin(x^2)is a continuous func...

    Text Solution

    |

  18. Prove that the function defined by f(x) = t a n xis a continuous func...

    Text Solution

    |

  19. Examine whether the function f given by f(x)=x^2is continuous at x = ...

    Text Solution

    |

  20. Discuss the continuity of the function f given by f(x) = |x| a t x = 0...

    Text Solution

    |