Home
Class 12
MATHS
If y=(sinx+cosx)/(sinx-cosx), then (dy)/...

If `y=(sinx+cosx)/(sinx-cosx)`, then `(dy)/(dx)` at x=0 is equal to

A

`-2`

B

`0`

C

`1/2`

D

Does not exist

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise LEVEL -1|134 Videos

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise LEVEL 2|103 Videos

  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|76 Videos

  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|81 Videos

Similar Questions

Explore conceptually related problems

If y=tan^(-1)((sinx+cosx)/(cosx-sinx)) , then (dy)/(dx) is equal to (a) 1/2 (b) 0 (c) 1 (d) none of these

If y=(sinx)/(x+cosx) , then find (dy)/(dx) .

If y=tan^(-1)((1-cosx)/(sinx)), then (dy)/(dx) is

If y=log_(cosx)sinx, then (dy)/(dx) is equal to

If y=(sinx)^(tanx)+(cosx)^(secx) , find (dy)/(dx)

ysinx dy/dx=(sinx-y^2)cosx

If y=x^(cosx)+(sinx)^(tanx) , find (dy)/(dx)

If y=(log_(cosx)sinx)(log_(sinx)cosx)+"sin"""^(-1)(2x)/(1+x^(2)) , then (dy)/(dx) at x=(pi)/(2) is equal to

int(1)/(cosx-sinx)dx is equal to

If y=(sinx-cosx)^(sinx-cosx) , pi/4 ltxlt (3pi)/ 4 find dy/dx

VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS-JEE Advanced (Archive)
  1. If y=(sinx+cosx)/(sinx-cosx), then (dy)/(dx) at x=0 is equal to

    Text Solution

    |

  2. Let g: R -> R be a differentiable function with g(0) = 0,,g'(1)!=0.Let...

    Text Solution

    |

  3. Let f(x)=sin((pi)/(6)sin((pi)/(2)sinx)) " for all "x in R and g(x)=(pi...

    Text Solution

    |

  4. Let f:R to R and h:R to R be differentiable functions such that f(x)=x...

    Text Solution

    |

  5. Let a , b in R and f:R to R be defined by f(x) =a cos (|x^(3)-x|)+...

    Text Solution

    |

  6. Let f:[-1/2,2] rarr R and g:[-1/2,2] rarr R be functions defined by f(...

    Text Solution

    |

  7. Let [x] be the greatest integer less than or equal to x . Then ,...

    Text Solution

    |

  8. Let f(x)=(1-x(1+|1-x|))/(|1-x|)cos((1)/(1-x))" for "x ne1. then

    Text Solution

    |

  9. Let f be two differentiable function satisfying f(1)=1,f(2)=4, f(3)=9,...

    Text Solution

    |

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

    Text Solution

    |

  11. The value of lim(x->0)((sinx)^(1/x)+(1/x)^(sinx)) , where x >0, is (a)...

    Text Solution

    |

  12. underset(xrarr(pi)/(4))(lim)(int(2)^(sec^(2)x)f(t)dt)/(x^(2-)(pi^(2))/...

    Text Solution

    |

  13. (d^2x)/(dy^2) equals: ((d^2y)/(dx^2))^(-1) (b) -((d^2y)/(dx^2))^(-1)(...

    Text Solution

    |

  14. Let g(x) = log f(x), where f(x) is a twice differentiable positive fun...

    Text Solution

    |

  15. Let g(x)=((x-1)^(n))/(logcos^(m)(x-1)),0ltxlt2 m and n integers, m ne0...

    Text Solution

    |

  16. If underset(xto0)lim[1+xln(1+b^(2))]^(1//x)=2bsin^(2)theta,bgt0," and ...

    Text Solution

    |

  17. Let f(x) = {{:(x^(2)|"cos"(pi)/(x)|",",x ne 0","x in R),(0",",x = 0):}...

    Text Solution

    |

  18. If underset(xtooo)lim((x^(2)+x+1)/(x+1)-ax-b)=4, then

    Text Solution

    |

  19. Let alpha(a) and beta(a) be the roots of the equation ((1+a)^(1/3)-1)x...

    Text Solution

    |

  20. Check the differentiability if f(x) = min. {1, x^(2), x^(3)}.

    Text Solution

    |

  21. Let f(x) be a non-constant twice differentiable function defined on (-...

    Text Solution

    |