Home
Class 12
MATHS
If f(x)=0 and g(x)=f(x)sqrt(1-2(f(x))^2)...

If `f(x)=0 and g(x)=f(x)sqrt(1-2(f(x))^2)` are strictly increasing `AAx in R ,` then find the values of `f(x)dot`

Promotional Banner

Topper's Solved these Questions

  • 3D COORDINATION SYSTEM

    CENGAGE PUBLICATION|Exercise DPP 3.1|11 Videos
  • APPLICATION OF INTEGRALS

    CENGAGE PUBLICATION|Exercise All Questions|143 Videos

Similar Questions

Explore conceptually related problems

2f(1/x) - f(x) = 5x , find the value of f(x + 1/x).

If f(x)=min(|x|,1-|x|,1/4)AAx in R , then find the value of int_(-1)^1f(x)dxdot

Show that f(x)=(1/2)^x is strictly decreasing on R.

If f(x+f(y))=f(x)+yAAx ,y in R a n df(0)=1, then find the value of f(7)dot

If f(x)=x sqrt(x^(2)+a^(2))+a^(2) log(x+sqrt(x^(2)+a^(2))) , then find the value of f'(0) .

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

Let a function f(x) satisfies f(x)+f(2x)+f(2-x)+f(1+x)=x ,AAx in Rdot Then find the value of f(0)dot

If f(x) is differentiable and strictly increasing function, then the value of lim_(xto0)(f(x^2)-f(x))/(f(x)-f(0)) is

Prove that the function f(x)=(log)_e(x^2+1)-e^(-x)+1 is strictly increasing AAx in Rdot

if 2f(x)+3f(-x)=x^2+x+1 find the value of f'(1)

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. Find the equation of the normal to the curve x^3+y^3=8x y at the point...

    Text Solution

    |

  2. If the slope of line through the origin which is tangent to the curve ...

    Text Solution

    |

  3. If f(x)=0 and g(x)=f(x)sqrt(1-2(f(x))^2) are strictly increasing AAx i...

    Text Solution

    |

  4. For the curve x y=c , prove that the portion of the tangent intercepte...

    Text Solution

    |

  5. Water is dropped at the rate of 2 m^3/s into a cone of semi-vertical a...

    Text Solution

    |

  6. f(x)=[x] is step-up function. Is it a monotonically increasing functio...

    Text Solution

    |

  7. Find the equation of the normal to the curve x^(2) = 4y which passes t...

    Text Solution

    |

  8. Suppose a , b , c are such that the curve y=a x^2+b x+c is tangent to ...

    Text Solution

    |

  9. If fogoh(x) is an increasing function, then which of the following is...

    Text Solution

    |

  10. Show that the tangent to the curve 3x y^2-2x^2y=1a t(1,1) meets the cu...

    Text Solution

    |

  11. Let y=f(x) be drawn with f(0) =2 and for each real number a the line t...

    Text Solution

    |

  12. Let f:[0,oo)to[0,oo)a n dg:[0,oo)to[0,oo) be non-increasing and non-de...

    Text Solution

    |

  13. Find the normal to the curve x=a(1+cos theta),y=a sintheta at theta....

    Text Solution

    |

  14. If the curve C in the xy plane has the equation x^(2)+xy+y^(2)=1, then...

    Text Solution

    |

  15. Find the range of values of a if f(x)=2e^x-a e^(-x)+(2a+1)x-3 is monot...

    Text Solution

    |

  16. If the straight line xcosalpha+ysinalpha=p touches the curve x y=a^2, ...

    Text Solution

    |

  17. Is every invertible function monotonic?

    Text Solution

    |

  18. Let C be a curve defined by y=e^(a+b x^2)dot The curve C passes throug...

    Text Solution

    |

  19. If the line xcostheta+ysintheta=P is the normal to the curve (x+a)y=1...

    Text Solution

    |

  20. Prove that f(x)=x-sinx is an increasing function.

    Text Solution

    |