Home
Class 12
MATHS
If y = log (sec x + tan x), then dy/dx =...

If y = log (sec x + tan x), then dy/dx =

A

sec x

B

tan x

C

`sec^(2)x`

D

`tan^(2)x`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|206 Videos

  • ELLIPSE

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|172 Videos

Similar Questions

Explore conceptually related problems

If y = tan^(-1) (sec x - tanx) then dy/dx =

If y = x . tan y, then dy/dx =

y = tan^(-1) (sec x - tan x) , then dy/dx =

If y =(sin x)^(tan x) , then dy/dx =

If y = log_(x) (log x) then (dy/dx)_(x = e) =

If y = log (x + sqrt(x^(2)+1) then dy/dx =

If y = cos(log sin x), then dy/dx =

If y=tan^(-1)(sec x+tan x) then (dy)/(dx) =

If y = log log (log x), then dy/dx =

HIMALAYA PUBLICATION-DIFFERENTIATION-QUESTION BANK
  1. If y = e^(tan x), then cos^(2)x . (d^(2)y)/(dx^(2)) =

    Text Solution

    |

  2. d/dx {cos^(-1)x + sin^(-1)x}=

    Text Solution

    |

  3. If y = log (sec x + tan x), then dy/dx =

    Text Solution

    |

  4. If x = sin^(-1) (3t-4t^(3)) and y = cos^(-1) sqrt(1-t^(2)), and -1/2 l...

    Text Solution

    |

  5. If y = sin^(-1) sqrt((x-1)/(x+1) ) + sec^(-1) sqrt((x+1)/(x-1)) then d...

    Text Solution

    |

  6. If f(x) = log (tan x), then f^(')(x) =

    Text Solution

    |

  7. If f(x) is an even function , then f'(x) is

    Text Solution

    |

  8. If f(x) is an odd function, then f^(')(x)

    Text Solution

    |

  9. If f(x) is an even funiction and f (x) exists , then f' (e ) + f' (- e...

    Text Solution

    |

  10. If f(x) is a differentiable even function, defined on (-oo, oo) and f^...

    Text Solution

    |

  11. If y = f(x) is an odd function, which is differentiable, defined on (-...

    Text Solution

    |

  12. Let f(x) be a polynomial function such that f(x). f(1/x) = f(x) + f(1/...

    Text Solution

    |

  13. Let f be a function defined for all x in R. If f is differentiable and...

    Text Solution

    |

  14. If f(x ) = (ax +b) sin x + (cx +d) cosx, then the values of a,b,c,d su...

    Text Solution

    |

  15. If x = a(t+1/t), y =a(t-1/t), then dy/dx =

    Text Solution

    |

  16. f(x) = log (x+ sqrt(x^(2)+1), then f^(')(1/2) =

    Text Solution

    |

  17. If f '(x) = cos (log x) and y = f((2x-3)/(2x+5)) then dy/dx =

    Text Solution

    |

  18. If 2^(x)+2^(y)=2^(x+y), then (dy)/(dx) is

    Text Solution

    |

  19. If y = (x^(x))^(x), then (dy/dx)(x =1) =

    Text Solution

    |

  20. If y = tan^(-1) (cosec x - cot x), then dy/dx =

    Text Solution

    |