Home
Class 12
MATHS
If f(x)=x+t a n xa n df(x) is inverse of...

If `f(x)=x+t a n xa n df(x)` is inverse of `g(x),` then `g^(prime)(x)` is equal to `1/(1+(g(x)-x)^2)` (b) `1/(1+(g(x)+x)^2)` `1/(2-(g(x)-x)^2)` (d) `1/(2+(g(x)-x)^2)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If f(x)=x+tan x and g(x) is inverse of f(x) then g'(x) is equal to (1)(1)/(1+(g(x)-x)^(2))(2)(1)/(1-(g(x)-x)^(2))(1)/(2+(g(x)-x)^(2))(4)(1)/(2-(g(x)-x)^(2))

If f(x)=2x+tan x and g(x) is the inverse of f(x) then value of g'((pi)/(2)+1) is

If f(x)=x+ tan x and f is the inverse of g then g'(x) equals (a) (1)/(1+[g(x)-x]^(2))(b)(1)/(2-[g(x)-x]^(2))(c)(1)/(2+[g(x)-x]^(2))(d) none of these

If f(x)=x^(3)+2x^(2)+3x+4 and g(x) is the inverse of f(x) then g'(4) is equal to- (1)/(4)(b)0 (c) (1)/(3)(d)4

if f(x)=x^(2)x,x in (1,infty) and g(x) be inverse function of f(x) then g^(')(x) must be equal to

If f(x)=x^(3)+2x^(2)+3x+4 and g(x) is the inverse of f(x) then g'(4) is equal to a.(1)/(4) b.0 c.(1)/(3) d.4

If g is the inverse of f and f'(x)=(1)/(2+x^(n)) then g'(x) is equal to

If g is the inverse of f and f'(x)=(1)/(2+x^(n)) , then g'(x) is equal to

Let g is the inverse function of fa n df^(prime)(x)=(x^(10))/((1+x^2)) . If g(2)=a , then g^(prime)(2) is equal to a/(2^(10)) (b) (1+a^2)/(a^(10)) (a^(10))/(1+a^2) (d) (1+a^(10))/(a^2)

If g is the inverse of f and f'(x) = (1)/(1 + x^(2)) , then g'(x) is equal to

RESONANCE DPP-JEE MAINS-All Questions
  1. If p ,q ,r are in A.P. then value of determinant |a^2+2^(n+1)+2p b^2+2...

    Text Solution

    |

  2. Let A=[-3-7-5 2 4 3 1 2 2]&B=[a b1] If AB is a scalar multipl...

    Text Solution

    |

  3. If f(x)=x+t a n xa n df(x) is inverse of g(x), then g^(prime)(x) is eq...

    Text Solution

    |

  4. If 3x+4y=12 intersect the ellipse x^2/25+y^2/16=1 at P and Q , then p...

    Text Solution

    |

  5. sin^4(pi/16)+sin^4(3pi/16)+sin^4(5pi/16)+sin^4(7pi/16)=3/2

    Text Solution

    |

  6. If x1,x2, x3 and y1, y 2, y3 are both in G.P. with the same common rat...

    Text Solution

    |

  7. Find the sum of the series (2^2-1)(6^2-1)+(4^2-1)(8^2-1)+...+(100^2-1)...

    Text Solution

    |

  8. Find the sum of infinite terms of the series : 3/(2*4)+5/(2*4*6)+7/(2*...

    Text Solution

    |

  9. The solution set satisfying the inequality,sqrt(21-4a-a^2)/(a+1)<=1

    Text Solution

    |

  10. A quadratic equation f(x)=a x^2+b x+c=0(a != 0) has positive distinct ...

    Text Solution

    |

  11. Draw the graph of the function: f(x)=||x-2|-3|

    Text Solution

    |

  12. A golf ball is dropped from a height of 80 m. Each time the ball hi...

    Text Solution

    |

  13. lf abcd=1 where a,b,c,d are positive reals then the minimum value of ...

    Text Solution

    |

  14. A circle is drawn to pass through the extremities of the latus rectum ...

    Text Solution

    |

  15. letp(x)=4x^2+6x+4 and q(y)=4y^2-12Y+25. Find the unique pairs of real ...

    Text Solution

    |

  16. If the roots of the equation x^2+2c x+a b=0 are real and unequal, the...

    Text Solution

    |

  17. AB is focal chord of a parabola. Let D and C be foot of perpendicul...

    Text Solution

    |

  18. If the quadratic equations, a x^2+2c x+b=0a n da x^2+2b x+c=0(b!=c) ha...

    Text Solution

    |

  19. If a=7,\ b=5,\ c=3, then the value of a^2+b^2+c^2-a b-b c-c a\ i s -1...

    Text Solution

    |

  20. Find the value of a if x^3-3x+a=0 has three distinct real roots.

    Text Solution

    |