Home
Class 12
MATHS
If |f(x2)-f(x1)|le(x2-x1)^2AAx1,x2inR, t...

If `|f(x_2)-f(x_1)|le(x_2-x_1)^2AAx_1,x_2inR,` then the equation of tangent to the curve y = f(x) at the point (1,2) is

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

The slope of the tangent to the curve (y-x^5)^2=x(1+x^2)^2 at the point (1,3) is

The slope of the tangent to the curve (y-x^(5))^(2)=x(1+x^(2))^(2) at the point (1, 3) is

Let g(x)=f(x)-1. If f(x)+f(1-x)=2AAx in R , then g(x) is symmetrical about. (a)The origin (b) the line x=1/2 (c) the point (1,0) (d) the point (1/2,0)

If f(x)=x^2-2x+1 , then find f(1)

If (f(x))^(2)xxf((1-x)/(1+x))=64x AAx in D_(f), then The domain of f(x) is

If y = f(x) = (x+2)/(x-1) then

If f(x+y)=f(x)+f(y)-x y-1AAx , y in R and f(1)=1, then the number of solution of f(n)=n , n in N , is 0 (b) 1 (c) 2 (d) more than 2

A function y= f(x) is defined as follows : y=f(x)= {(x^(2) " when " 0 le x le 1 ), ( sqrt(x) " when " x ge 1 ) :} Then the area ( in square unit ) above the x- axis included between the curve y= f(x) and the line x = 4 is-

If a f(x+1)+b f(1/(x+1))=x,x !=-1,a != b, then f(2) is equal to

If f(x)=2^x the f(x+3)/ f(x-1) =?

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. A cube of ice melts without changing its shape at the uniform rate o...

    Text Solution

    |

  2. Using Rolles theorem, prove that there is at least one root in (45^(1/...

    Text Solution

    |

  3. If |f(x2)-f(x1)|le(x2-x1)^2AAx1,x2inR, then the equation of tangent to...

    Text Solution

    |

  4. If f(x) is a twice differentiable function such that f(a)=0, f(b)=2, f...

    Text Solution

    |

  5. A function y=f(x) has a second-order derivative f''(x)=6(x-1)dot It it...

    Text Solution

    |

  6. If x+4y=14 is a normal to the curve y^2=ax^3 -betaat (2,3) then value ...

    Text Solution

    |

  7. In the curve represented parametrically by the equations x=2logcott+1 ...

    Text Solution

    |

  8. The abscissas of point Pa n dQ on the curve y=e^x+e^(-x) such that tan...

    Text Solution

    |

  9. The normal to the curve 2x^2+y^2=12 at the point (2,2) cuts the curve ...

    Text Solution

    |

  10. At what point of curve y=2/3x^3+1/2x^2, the tangent makes equal angle ...

    Text Solution

    |

  11. The equation of the tangent to the curve y=b e^(-x//a) at the point wh...

    Text Solution

    |

  12. Then angle of intersection of the normal at the point (-5/(sqrt(2)),3/...

    Text Solution

    |

  13. If a variable tangent to the curve x^2y=c^3 makes intercepts a , b o...

    Text Solution

    |

  14. Let C be the curve y=x^3 (where x takes all real values). The tangent ...

    Text Solution

    |

  15. If H is the number of horizontal tangents and V is the number of verti...

    Text Solution

    |

  16. Let f be differentiable for all x , If f(1)=-2a n df^(prime)(x)geq2 fo...

    Text Solution

    |

  17. The curves 4x^2+9y^2=72 and x^2-y^2=5a t(3,2) Then (a) touch each oth...

    Text Solution

    |

  18. If the length of sub-normal is equal to the length of sub-tangent at ...

    Text Solution

    |

  19. At any point on the curve 2x^2y^2-x^4=c , the mean proportional betwee...

    Text Solution

    |

  20. The x-intercept of the tangent at any arbitrary point of the curve a/(...

    Text Solution

    |