Home
Class 12
MATHS
(d^(20)y)/(dx^(20))(2cosxcos3x)i se q u ...

`(d^(20)y)/(dx^(20))(2cosxcos3x)i se q u a lto` `2^(20)(cos2x-2^(20)os3x)` `2^(20)(cos2x+2^(20)cos4x)` `2^(20)(sin2x+2^(20)sin4x)` `2^(20)(sin2x-2^(20)sin4x)`

A

`2^(20)( cos 2x -2^(20) cos 3x)`

B

`2^(20)( cos 2x +2^(20) cos 4x)`

C

`2^(20)( sin 2x +2^(20) sin 4x)`

D

`2^(20)( sin 2x - 2^(20) sin 4x)`

Text Solution

Verified by Experts

`y=2cos x cos 3x = cos 4x +cos 2x`
`therefore" "(d^(20)y)/(dx^(20))=4^(20)cos 4x +2^(20) cos 2x`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    CENGAGE PUBLICATION|Exercise Multiple Correct Answers Type|29 Videos

  • DIFFERENTIATION

    CENGAGE PUBLICATION|Exercise Linked Comprehension Type|23 Videos

  • DIFFERENTIATION

    CENGAGE PUBLICATION|Exercise Concept Application 3.9|14 Videos

  • DIFFERENTIAL EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|578 Videos

  • DOT PRODUCT

    CENGAGE PUBLICATION|Exercise DPP 2.1|15 Videos

Similar Questions

Explore conceptually related problems

(d^(20))/(dx^(20))(2cosxcos3x) is equal to (a) 2^(20)(cos2x-2^(20)cos3x) (b) 2^(20)(cos2x+2^(20)cos4x) (c) 2^(20)(sin2x+2^(20)sin4x) (d) 2^(20)(sin2x-2^(20)sin4x)

Solve : 3^(sin 2x+2cos^(2)x)+3^(1- sin2x+2sin^(2)x)=28

sin 2 x + 2 sin 4x + sin 6x = 4 cos ^(2) x sin 4x

(cos x- cos y) ^(2) + (sin x - sin y) ^(2) =4 sin ^(2) "" ( x-y)/(2)

cos ^(2) 2x -cos ^(2) 6x = sin 4x sin 8x

int dx/(cos2x+3sin^(2)x)

(sin x - sin 3x)/( sin ^(2) x - cos ^(2) x) = 2 sin x

Solve : 3^(sin2x+2cos^2x)+3^(1-sin2x+2sin^2x)=28

sec70^(@)sin20^(@)+cos20^(@)cosec70^(@)=2

2tanx = sin4x - 2sin2x cos2x tan^(2)x

CENGAGE PUBLICATION-DIFFERENTIATION-Execrises
  1. If y=a x^(n+1)+b x^(-n),t h e nx^2(d^2y)/(dx^2) is equal to (a) n(n-1)...

    Text Solution

    |

  2. Suppose f(x)=e^(a x)+e^(b x) , where a!=b , and that f^(prime prime)(x...

    Text Solution

    |

  3. (d^(20)y)/(dx^(20))(2cosxcos3x)i se q u a lto 2^(20)(cos2x-2^(20)os3x...

    Text Solution

    |

  4. (d^n)/(dx^n)(logx)=? (a)((n-1)!)/(x^n) (b) (n !)/(x^n) (c)((n-2)!)/(...

    Text Solution

    |

  5. The n t h derivative of the function f(x)=1/(1-x^2)[w h e r ex in (-1,...

    Text Solution

    |

  6. If y=xlog"{"x/((a+b x))"}" , then show that x^3(d^2y)/(dx^2)=(x(dy)/(d...

    Text Solution

    |

  7. If a x^2+2h x y+b y^2=1,t h e n(d^(2y))/(dx^2) is (h^2-a b)/((h x+b y)...

    Text Solution

    |

  8. If y^(1/m)=(x+sqrt(1+x^2)),t h e n(1+x^2)y2+x y1 is (where yr represen...

    Text Solution

    |

  9. If (sinx)(cosy)=1/2,t h e n(d^2y)/(dx^2)a t(pi/4,pi/4) is -4 (b) -2 (c...

    Text Solution

    |

  10. A function f satisfies the condition f(x)=f^(prime)(x)+f''(x)+f'''(x)....

    Text Solution

    |

  11. Let f(x) be a polynomial of degree 3 such that f(3)=1,f^(prime)(3)=-1,...

    Text Solution

    |

  12. If y^2=a x^2+b x+c , then y^3(d^2y)/(dx^2) is (a) a constant (b) a fun...

    Text Solution

    |

  13. If y=x+e^x, then (d^2x)/(dy^2) is (a) e^x (b) - e^x/((1+e^x)^3) ...

    Text Solution

    |

  14. if y= sin mx, them the value of the determinant |{:(y,,y(1),,y(...

    Text Solution

    |

  15. If f''(x)=-f(x) and g(x)=f^(prime)(x) and F(x)=(f(x/2))^2+(g(x/2))^2 a...

    Text Solution

    |

  16. Let y=1n(1+cosx)^2 . Then the value of (d^2y)/(dx^2)+2/(e^(y/2)) equal...

    Text Solution

    |

  17. If x=tcost ,y=t+sint . Then (d^2 x)/(dy^2)at t=pi/2 is (a)(pi+4)/2...

    Text Solution

    |

  18. "If "f(x)=(x-1)^(4)(x-2)^(3)(x-3)^(2)(x-4), then the value of f'''(1)+...

    Text Solution

    |

  19. let y=t^(10)+1, and x=t^8+1, then (d^2y)/(dx^2) is

    Text Solution

    |

  20. If x = log p and y=(1)/(p), then

    Text Solution

    |