Home
Class 12
MATHS
Let y be an implicit function of x defi...

Let y be an implicit function of x defined by `x^(2x)-2x^(x) cot y-1=0`. Then y' (1) equals

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Let y be an implicit function of x defined by x^(2x)-2x^xcot y-1=0. Then y '(1) equals: 1 b. log2 c. -log2 d. -1

Let y=f(x) be a real valued function satisfying xdy/dx = x^2 + y-2 , f(1)=1 then f(3) equal

Let a function of 2 variables be defined by g(x, y)=xy+3xy^(2)-(x-y^(2)) , what is the value of g(2, -1) ?

Let a function of 2 variables be defined by h(x, y)=x^(2)+3xy-(y-x) , what is the value of h(5, 4) ?

Let emptyset be an operation on x and y defined as x emptysety=(x^(-2)+y^(-2))/(x^(-1)+y^(-1)) . Find the value of (1emptyset1)emptyset3 ?

If a function y=f(x) is defined as y=(1)/(t^(2)-t-6)and t=(1)/(x-2), t in R . Then f(x) is discontinuous at

Write explicit functions of y defined by the following equations and also find the domains of definitions of the given implicit functions: x+|y|=2y (b) e^y-e^(-y)=2x (c) 10^x+10^y=10 (d) x^2-sin^(-1)y=pi/2

Let f(x, y) be a periodic function satisfying f(x, y) = f(2x + 2y, 2y-2x) for all x, y; Define g(x) = f(2^x,0) . Show that g(x) is a periodic function with period 12.

If y(x) is the solution of the differential equation (dy)/(dx)=-2x(y-1) with y(0)=1 , then lim_(xrarroo)y(x) equals

If y(x) is the solution of the differential equation (dy)/(dx)=-2x(y-1) with y(0)=1 , then lim_(xrarroo)y(x) equals

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If y=(sin^(-1)x)^2+(cos^(-1)x)^2 , then (1-x^2) (d^2y)/(dx^2)-x(dy)/(d...

    Text Solution

    |

  2. Let f:""(-1,""1) rarr R be a differentiable function with f(0)""=""-...

    Text Solution

    |

  3. Let y be an implicit function of x defined by x^(2x)-2x^(x) cot y-1=0...

    Text Solution

    |

  4. If x^m y^n=(x+y)^(m+n), prove that (dy)/(dx)=y/x .

    Text Solution

    |

  5. The function f(x)=sqrt(a x^3+b x^2+c x+d) has its non-zero local mini...

    Text Solution

    |

  6. If f(x),g(x),h(x) are polynomials in x of degree 2 and F(x)=|fghf'g' h...

    Text Solution

    |

  7. STATEMENT 1 : When a polynomial P(x)(d egr e e >2) is divided by (x-1)...

    Text Solution

    |

  8. If 8f(x)+6f(1/x)=x+5 and y=x^2(f(x), then (dy)/(dx) at x=-1 is equal t...

    Text Solution

    |

  9. Solve each of the following system of equations in Rdot |x-1|+|x-2...

    Text Solution

    |

  10. The complete solution set of the inequation sqrt(x+18)<2-x , is (-18 ,...

    Text Solution

    |

  11. If (lim)(xvecoo)(2+(f(x))/(x^2))^(1/x)=e and f(x)=a0+a1x+a2x^3+ , then

    Text Solution

    |

  12. The matrix A has x rows and (x+5) column. If the matrix B has y rows a...

    Text Solution

    |

  13. If y=xln((a x)^(-1)+a^(-1)) prove that x(x+1)(d^2y)/(dx^2)+(dy)/(dx)=y...

    Text Solution

    |

  14. If the solution of the equation |(x^4-9)-(x^2+3)|=|x^4-9|-|x^2+3| is ...

    Text Solution

    |

  15. In the given figure (circle), P T=5,P D=7a n dP A=2, then the value of...

    Text Solution

    |

  16. Consider the matrices A=[(4,6,-1),(3,0,2),(1,-2,5)], B=[(2,4),(0,1),(...

    Text Solution

    |

  17. The solution set of the equation (x+1)log(3)^(2)x+4xlog(3)-16=0is

    Text Solution

    |

  18. If y = f(x),has following graph Match the column by filling follo...

    Text Solution

    |

  19. Let G(x)=(1/(a^x-1)+1/2)F(x), where a is a positive real number not eq...

    Text Solution

    |

  20. If {.} represents fractional part function and {x}+{-x}=x^2+x-6 , then...

    Text Solution

    |