Home
Class 12
MATHS
Differentiate w.r.t.x the function in Ex...

Differentiate w.r.t.x the function in Exercises 1 to 11.
`(3x^(2)-9x+5)^(9)`

Text Solution

Verified by Experts

The correct Answer is:
`27(3x^(2)-9x+5)^(8)(2x-3)`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT GUJARATI|Exercise EXERCISE 5.8|8 Videos

  • APPLICATION OF INTEGRALS

    NCERT GUJARATI|Exercise Miscellaneous Exercise|19 Videos

  • DETERMINANTS

    NCERT GUJARATI|Exercise Miscellaneous Exercises on Chapter 4|18 Videos

Similar Questions

Explore conceptually related problems

Differentiate w.r.t.x the function in Exercises 1 to 11. x^(x)+x^(a)+a^(x)+a^(a) , for some fixed a gt 0" and "x gt 0 .

Differentiate w.r.t.x the function in Exercises 1 to 11. cos( a cos x+ b sin x) , for some constant a and b.

Differentiate w.r.t x the function (5x)^(3 cos 2x)

Differentiate w.r.t x the function sin^(3) x + cos^(6)x

NCERT GUJARATI-CONTINUITY AND DIFFERENTIABILITY-MISCELLANEOUS EXERCISE ON CHAPTER 5
  1. Differentiate w.r.t.x the function in Exercises 1 to 11. (3x^(2)-9x+...

    Text Solution

    |

  2. Differentiate w.r.t. x the functionsin^3x+cos^6x

    Text Solution

    |

  3. Differentiate w.r.t. x the function(5x)^(3cos2x).

    Text Solution

    |

  4. sin^(-1)(xsqrt(x)),0 le x le 1

    Text Solution

    |

  5. Differentiate w.r.t.x the function in Exercises 1 to 11. (cos^(-1)""...

    Text Solution

    |

  6. cot^-1{sqrt(1+sinx)+sqrt(1-sinx)}/{sqrt(1+sinx)-sqrt(1-sinx)}

    Text Solution

    |

  7. Differentiate w.r.t. x the function(logx)^(logx), x >1

    Text Solution

    |

  8. Differentiate w.r.t.x the function in Exercises 1 to 11. cos( a cos ...

    Text Solution

    |

  9. (sinx-cosx)^((sinx-cosx)),(pi)/(4) ltx lt (3pi)/(4)

    Text Solution

    |

  10. Differentiate w.r.t.x the function in Exercises 1 to 11. x^(x)+x^(a)...

    Text Solution

    |

  11. x^(x^(2)-3)+(x-3)^(x^2)," for "x gt 3.

    Text Solution

    |

  12. Find (dy)/(dx),if y=12(1-cost), x=10(t-sint),-pi/2<t<pi/2

    Text Solution

    |

  13. Find (dy)/(dx), if y=sin^(-1)x+sin^(-1)sqrt(1-x^2),-1lt=xlt=1.

    Text Solution

    |

  14. xsqrt(1+y)+ysqrt(1+x)=0, then (dy)/(dx)=

    Text Solution

    |

  15. If (x-a)^2+(y-b)^2=c^2, for some c > 0, prove that ([1+((dy)/(dx))^2]^...

    Text Solution

    |

  16. If cosy=xcos(a+y) , with cosa!=+-1 , prove that (dy)/(dx)=(cos^2(a+y))...

    Text Solution

    |

  17. If x=a(cos t+t\ s in\ t) and y=a\ (sint-t\ cos t),\ \ then find (d^2\...

    Text Solution

    |

  18. If f(x)=|x|^3 , show that f"(x) exists for all real x and find it.

    Text Solution

    |

  19. Using mathematical induction prove that d/(dx)(x^n)=n x^(n-1) for all...

    Text Solution

    |

  20. Using the fact that s in (A + B) = s in A cos B + cos A s in Band the ...

    Text Solution

    |