Home
Class 12
MATHS
(d)/(dx)[cos^(2)x(3-4cos^(2)x)^(2)]+(d)/...

`(d)/(dx)[cos^(2)x(3-4cos^(2)x)^(2)]+(d)/(dx)[sin^(2)(3-4sin^(2)x)^(2)]=`

A

`cosx+sinx`

B

`cos3x+sin3x`

C

1

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - I : CHAPTER 11)|19 Videos
  • DIFFERENTIATION

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 11)|24 Videos
  • DIFFERENTIAL EQUATIONS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|14 Videos
  • INTEGRATION - DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos

Similar Questions

Explore conceptually related problems

(d)/(dx)[3(sin^(2)x+cos^(2)x)]=

(d)/(dx)(sin^(2)x+cos^(2)x) =

(d)/(dx)[sin^(-1){cos(x^(2)-2)}]=

(d)/(dx)cos^(-1)(sin x)=

Let (d)/(dx)(f(x))=((sin^(12)x-cos^(12)x)/((sin^(2)x-cos^(2)x)(1-3sin^(2)x cos^(2)x))) be such that f(0)=0 then f((pi)/(2)) equals (k pi)/(16). Find the value of k(k in N)

(d)/(dx)(sin{2cos^(-1)(sinx)}]=

d/(dx)[sin {2 cos^(-1) (sin x)}] =

If x in(0,(pi)/(2)), thenshowthat(d)/(dx)cos^(-1){(7)/(2)(1+cos2x)+(sqrt(sin^(2)x-48cos^(2)x))sin x}=1+(7sin x)/(sqrt(sin^(2)-48cos^(2)x))

(d)/(dx)[(1+cos2x+sin2x)/(1+sin2x-cos2x)]=

(d)/(dx)[(sin x)/(1+cos x)]=

MARVEL PUBLICATION-DIFFERENTIATION-MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 11)
  1. (d)/(dx)[cos^(2)x(3-4cos^(2)x)^(2)]+(d)/(dx)[sin^(2)(3-4sin^(2)x)^(2)]...

    Text Solution

    |

  2. If x=t*logt" and "y=t^(t)," then: "(dy)/(dx)=

    Text Solution

    |

  3. If 2x=y^(1//n)," then: "x^(2)(y(1))^(2)=

    Text Solution

    |

  4. If y=x^(2)+1" and "u=sqrt(1+x^(2))," then: "(dy)/(dx)=

    Text Solution

    |

  5. If y=sqrt(cos2x)," then: "yy(2)+2y^(2)=

    Text Solution

    |

  6. If x=(t+1)/(t),y=(t-1)/(t)," then: "(dy)/(dx)=

    Text Solution

    |

  7. If d/dx\ ((1+x^2+x^4)/(1+x+x^2)) = ax+b, then (a, b) =

    Text Solution

    |

  8. If cos x =1/sqrt(1+t^(2)), and sin y = t/sqrt(1+t^(2)), then (dy)/(dx)...

    Text Solution

    |

  9. If y=(x^(1/3)-x^(-1/3))then (dy)/(dx) is

    Text Solution

    |

  10. If y=(e^(4logx)-e^(3logx))/(e^(2logx)-e^(logx))," then: "(dy)/(dx)=

    Text Solution

    |

  11. If y=cos^(2)[tan^(-1)sqrt((1-x)/(1+x)))] then dy/dx=

    Text Solution

    |

  12. d/(dx)[sin^(- 1)(x-(4x^3)/27)]= 4x327dx

    Text Solution

    |

  13. (d)/(dx)(sec^(2)x*csc^(2)x)=

    Text Solution

    |

  14. If y=log((1)/(1-x))," then: "(dy)/(dx)-1=

    Text Solution

    |

  15. If y=4^(log2(sinx))+9^(log3(cosx)," then "(log2(log3)y(1)=

    Text Solution

    |

  16. If y=cos((1)/(2)cos^(-1)x)," then "(dx)/(dy)=

    Text Solution

    |

  17. If y=(1+x^(1/4))(1+x^(1/2))(1-x^(1/4)) , then find (dy)/(dx)dot

    Text Solution

    |

  18. If x^(2)=1+cosy," then: "(dy)/(dx)=

    Text Solution

    |

  19. Defferential coefficient of x^(x)w.r.t.x*logx is

    Text Solution

    |

  20. If x=sqrt(y+sqrt(y+sqrt(y+..."to"oo)))," then: "(dy)/(dx)=

    Text Solution

    |

  21. If 3x^(2)+4xy-5y^(2)=0," then: "(dy)/(dx)=

    Text Solution

    |