Home
Class 12
MATHS
If the functions f(x)=x^(3)+e^(x//2) " a...

If the functions `f(x)=x^(3)+e^(x//2) " and " g(x)=f^(-1)(x)`, the value of g'(1) is ………… .

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|10 Videos

  • DIFFERENTIATION

    ARIHANT MATHS ENGLISH|Exercise Exercise (Passage Based Questions)|16 Videos

  • DIFFERENTIATION

    ARIHANT MATHS ENGLISH|Exercise SOLVED EXAMPLES|7 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

Similar Questions

Explore conceptually related problems

If function f(x)=x^(2)+e^(x//2) " and " g(x)=f^(-1)(x) , then the value of g'(1) is

If the function f(x)=x^3+e^(x/2) and g(x)=f ^(−1)(x) , then the value of g ′ (1) is

If f(x)=2x^(2)-4 and g(x)=2^(x) , the value of g(f(1)) is

f(x)=x^(2)+xg'(1)+g''(2)and g(x)=f(1)x^(2)+xf'(x)+f'(x). The value of g(0) is

Given functions f(x) = 2x + 1 and g(x) = x^(2) - 4 , what is the value of f(g(-3)) ?

f(x)=x^(2)+xg'(1)+g''(2)and g(x)=f(1)x^(2)+xf'(x)+f'(x). The value of f(3) is

If f(x) = (1)/(1 -x) x ne 1 and g(x) = (x-1)/(x) , x ne0 , then the value of g[f(x)] is :

If the function f(x)=-4e^((1-x)/2)+1+x+(x^2)/2+(x^3)/3a n dg(x)=f^(-1)(x), then the reciprocal of g^(prime)((-7)/6) is_________

If f(x)=e^(x) and g(x)=f(x)+f^(-1) , what does g(2) equal?

If f(x)=|x-2|+x^(2)-1 and g(x)+f(x)=x^(2)+3 , find the maximum value of g(x) .

ARIHANT MATHS ENGLISH-DIFFERENTIATION -Exercise (More Than One Correct Option Type Questions)
  1. If y is a function of x then (d^2y)/(dx^2)+y \ dy/dx=0. If x is a func...

    Text Solution

    |

  2. Leg g(x)=ln(f(x)), whre f(x) is a twice differentiable positive functi...

    Text Solution

    |

  3. If the functions f(x)=x^(3)+e^(x//2) " and " g(x)=f^(-1)(x), the value...

    Text Solution

    |

  4. Let f(theta)=sin(tan^(-1)((sintheta)/(sqrt(cos2theta)))), where -pi/4...

    Text Solution

    |

  5. If y=log(sinx)(tanx), then (dy)/ (dx) at x=(1)/(4) is equal to

    Text Solution

    |

  6. If y=sum(r=1)^(x) tan^(-1)((1)/(1+r+r^(2))), then (dy)/(dx) is equal t...

    Text Solution

    |

  7. If y=(sin^(-1)(sinalphasinx)/(1-cosalphasinx)), then y'(0) is equal to

    Text Solution

    |

  8. If f(x)=cot^(-1)((x^(x)-x^(-x))/(2)) then f'(1) equals

    Text Solution

    |

  9. The function f(x)=e^x+x , being differentiable and one-to-one, has a d...

    Text Solution

    |

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

    Text Solution

    |

  11. about to only mathematics

    Text Solution

    |

  12. If x=f(t)cost-f^(prime)(t)sint and y=f(t)sint+f^(prime)(t)cost , then ...

    Text Solution

    |

  13. If y=at^2+2bt-cand t = ax^2+2bx+c, then(d^3y)/(dx^3) equals

    Text Solution

    |

  14. Differential coefficient of (x^((l+m)/(m-n)))^(1//(n-l))*(x^((m+n)/(n-...

    Text Solution

    |

  15. if y=(A+Bx)e^(mx)+(m-1)^-1 e^x then (d^2y)/(dx^2)-2m(dy)/(dx)+m^2y is ...

    Text Solution

    |

  16. If f(x)=cos^(-1)1/(sqrt(13))(2cosx-3sinx) +sin^(-1)1/(sqrt(13))x(2cos...

    Text Solution

    |

  17. If f(x)=sqrt(x+2sqrt(2x-4))+sqrt(x-2sqrt(2x-4)) then the value of 10 f...

    Text Solution

    |

  18. Let y=1n(1+cosx)^2 . Then the value of (d^2y)/(dx^2)+2/(e^(y/2)) equal...

    Text Solution

    |

  19. If f(x)=(a+sqrt(a^2-x^2)+x)/(sqrt(a^2-x^2)+a-x) where a>0 then f'(0) ...

    Text Solution

    |

  20. Let u/x a n dv(x) be differentiable functions such that (u(x))/(v(x))=...

    Text Solution

    |