Home
Class 12
MATHS
(d)/(dx){tan^(-1)(e^(x))} is equal to :...

`(d)/(dx){tan^(-1)(e^(x))}` is equal to :

A

`e^(x) tan^(-1) e^(x)`

B

`(e^(x))/(1+e^(2x))`

C

0

D

`e^(x) sec^(-1) x`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    ACCURATE PUBLICATION|Exercise SAMPLE QUESTION PAPER -I ( SOLVED ) ( SECTION -B)|6 Videos

  • PROBABILITY

    ACCURATE PUBLICATION|Exercise SAMPLE QUESTION PAPER -I ( SOLVED ) ( SECTION -C )|8 Videos

  • PROBABILITY

    ACCURATE PUBLICATION|Exercise Questions Carrying Type - 4 marks|42 Videos

  • MATRICES

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 6 MARKS |4 Videos

  • RELATION AND FUNCTIONS

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK - TYPE-III|11 Videos

Similar Questions

Explore conceptually related problems

d/(dx)(tan^2x) is equal to:

The value of d/dx{tan^-1(cosx)} for x= 30 is equal to

d/dx{tan^-1sqrtx} =

d/dx{tan^-1((x+a)/(1-ax))} = __________

Differentiate the following functions w.r.t. x (e^(x^2) tan^-1x)/(sqrt(1+x^2)), x > 0

Differentiate tan^-1((2^(x+1))/(1-4^x)) with respect to x.

Find d/dx (tan^-1(tanx)) when - pi/2 < x < pi/2

Differentiate tan^(-1) ((sqrt(1 + x^2) - 1)/(x)) w.r.t. sin^(-1) ((2x)/(1 + x^2)) .

Differentiate the following w.r.t.x. tan^(-1)(sec x + tan x)

ACCURATE PUBLICATION-PROBABILITY -SAMPLE QUESTION PAPER -I ( SOLVED ) ( SECTION -A)
  1. If order of matrix A is 2 xx 3 and order of matrix B is 3 xx 5, then o...

    Text Solution

    |

  2. If 'f(x)= {[Kx+1,xle5],[3x-5,x>5]:}' is continuous at x=5 then value o...

    Text Solution

    |

  3. (d)/(dx){tan^(-1)(e^(x))} is equal to :

    Text Solution

    |

  4. Slope of tangent to the curve 'y = x^2-2x+1' at x=3 is :

    Text Solution

    |

  5. int3x^(2)dx is equal to :

    Text Solution

    |

  6. int0^(pi/2) sin^(1/2x)/(sin^(1/2)x+cos^(1/2)x)dx is equal to :

    Text Solution

    |

  7. Degree of differential equation (d^(2)y)/(dx^(2))-2(dy)/(dx)+3y=0 is :

    Text Solution

    |

  8. If veca*vecb=|vecaxxvecb|, then angle between vector veca and vector v...

    Text Solution

    |

  9. If veca.vecb=0 then angle between vector veca and vecb is:

    Text Solution

    |

  10. Direction ratios of line given by line (x-1)/3=(2y+6)/12=(1-z)/-7 are...

    Text Solution

    |

  11. Maximum value of Z=3x+y for the constraints x+yle4, xge0, yge0 is :

    Text Solution

    |

  12. If P(A) = 1/2, P(B) = 3/8 and P(A nn B) = 1/5· then P(A/B) is equal to...

    Text Solution

    |

  13. Value of sin^-1(1) is

    Text Solution

    |

  14. If A=[a(ij)](2×3) such that a(ij)=i+j then a 11=

    Text Solution

    |

  15. If |[x,0],[7,1]|=|[3,0],[7,1]| then x=

    Text Solution

    |

  16. If 'y=cos x ' then at'x=0', 'dy/dx=..........'.

    Text Solution

    |

  17. int(0)^(5)dx= ……………….

    Text Solution

    |

  18. Order of the differential equation (d^(2)y)/(dx^(2))-((dy)/(dx))^(3)+y...

    Text Solution

    |

  19. Direction ratios of a line which is perpendicular to the plane '3x-y+2...

    Text Solution

    |

  20. Probability of occurrence of impossible event = ………. .

    Text Solution

    |