Home
Class 12
MATHS
If y=2^(3^(x)), then y' equals...

If `y=2^(3^(x))`, then `y'` equals

A

`3^(x).log3.log2`

B

`y.(.log2y).log3.log2`

C

`2^(3^(x)).3^(x).log6`

D

`2^(3^(x)).3^(x).log3.log2`

Text Solution

Verified by Experts

The correct Answer is:
B, D
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|10 Videos

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|16 Videos

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

Similar Questions

Explore conceptually related problems

if x+y=(2 pi)/(3) and cos x+cos y=(sqrt(3))/(2) then x,y is equal to:

Let y = y (x) be the solution of the differential equation ( x - x ^(3)) dy = ( y + y x^(2) - 3x^(4)) dx , x gt 2 . If y (3) = 3 then y (4) is equal to :

If x+y+z=0 , then x^3+y^3+8 equals

If x^(2)+y^(2)=1 and P=(3x-4x^(3))^(2)+(3y-4y^(3))^(2) then P is equal to

If f(2x+3y,2x-7y)=20x, then f(x,y) equals

If f(2x+3y,2x-7y)=20x, then f(x,y) equals:

If y=cos2xcos3x , then y_(n) is equal to

If log_(5)(3^(x)-4^(y))=3 and 3^((x)/(2))-2^(y)=5, then (x)/(y) is equal to

ARIHANT MATHS-DIFFERENTIATION -Exercise (More Than One Correct Option Type Questions)
  1. The function u=e^x s in ; v=e^x cos x satisfy the equation v(d u)/(dx)...

    Text Solution

    |

  2. If f(x)=logx(lnx) then f'(x) at x=e is

    Text Solution

    |

  3. Let f be a differentiable function satisfying [f(x)]^(n)=f(nx)" for ...

    Text Solution

    |

  4. If y=f(x) is an odd differentiable function defined on (-oo,oo) such t...

    Text Solution

    |

  5. If y=sqrt(x+sqrt(y+sqrt(x+sqrt(y+...oo)))), then (dy)/(dx) is equal to

    Text Solution

    |

  6. If f(x)=|cosx-sinx| , then f'(pi/4) is equal to

    Text Solution

    |

  7. Let f(x)=x^2+xg^2(1)+g^''(2) and g(x)=f(1).x^2+xf'(x)+f''(x), then fin...

    Text Solution

    |

  8. if f(x) = x^n then the value of f(1) - (f'(1))/(1!) + (f''(1))/(2!) +...

    Text Solution

    |

  9. If y+log(1+x)=0 which of the following is true?

    Text Solution

    |

  10. If y=2^(3^(x)), then y' equals

    Text Solution

    |

  11. If g is the inverse of fandf(x) = x^(2)+3x-3,(xgt0). then g'(1) equal...

    Text Solution

    |

  12. If x^3-2x^2y^2+5x+y-5=0a n dy(1)=1,t h e n y^(prime)(1)=4/3 (b) y^(1)...

    Text Solution

    |

  13. let y=sqrt(x+sqrt(x+sqrtx...oo))) then dy//dx equals

    Text Solution

    |

  14. Ify=x^((lnx)^ln(lnx)) , then (dy)/(dx) is equal to

    Text Solution

    |

  15. Which of the following functions are not derivable at x=0?

    Text Solution

    |

  16. Let f(x)=(sqrt(x-2sqrt(x-1)))/(sqrt(x-1)-1).x then

    Text Solution

    |

  17. If 2^(x)+2^(y)=2^(x+y) then (dy)/(dx)is equal to

    Text Solution

    |

  18. For the function y=f(x)=(x^(2)+bx+c)e^(x), which of the following hold...

    Text Solution

    |

  19. If sqrt(y+x)+sqrt(y-x)=c, where cne0, then (dy)/(dx) has the value equ...

    Text Solution

    |

  20. If y = tan x tan 2x tan 3x, (sin 12x != 0) then dy / dx has the value ...

    Text Solution

    |