Home
Class 12
MATHS
Find the angle between y=f(x) and y=2e^(...

Find the angle between `y=f(x) and y=2e^(2x)` at their point of intersection. Where `f(x)= x^(2)f(1)-xf'(2)+f ''(3)` and `f(0)=2`.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise NCERT - FILE (Question from NCERT Book) (Exercise 6.1)|18 Videos
  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise NCERT - FILE (Question from NCERT Book) (Exercise 6.2)|23 Videos
  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise Objective Type Questions (C. True/False Questions)|5 Videos
  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

A function y=f(x) satisfying f'(x)=x^(-(3)/(2)),f'(4)=2 and f(0)=0 is

f:RrarrR,f(x)=x^(3)+x^(2)f'(1)+xf''(2)+f'''(3)" for all "x in R. f(x) is

if f(x)=3e^(x^(2)) then f'(x)-2xf(x)+(1)/(3)f(0)-f'(0)

f(0)=1 , f(2)=e^2 , f'(x)=f'(2-x) , then find the value of int_0^(2)f(x)dx

If f(x)=2x-3, find f(0),f(1),f(-2)andf((x+3)/(2)) .

If f(x) be a differentiable function,such that f(x)f(y)+2=f(x)+f(y)+f(xy);f'(0)=0,f'(1)=2 then find f(x)

Find the domain and the range of the function y=f(x) , where f(x) is given by x^(2)-2x-3

If the function / satisfies the relation f(x+y)+f(x-y)=2f(x),f(y)AA x,y in R and f(0)!=0 ,then f(x) is an even function f(x) is an odd function If f(2)=a, then f(-2)=a If f(4)=b, then f(-4)=-b

Find function f(x) which is differentiable and satisfy the relation f(x+y)=f(x)+f(y)+(e^(x)-1)(e^(y)-1)AA x, y in R, and f'(0)=2.

MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-Objective Type Questions (D. Very Short Answer Types Questions)
  1. Find the set of values of 'a' such that f(x)=ax-sinx is increasing on ...

    Text Solution

    |

  2. Examine whether the function given by f(x)=x^(3)-3x^(2)+3x-5 is increa...

    Text Solution

    |

  3. Write the interval in which the function f(x)=cos x is strictly decrea...

    Text Solution

    |

  4. Find the point on the curve y=x^(2)-2x+5, where the tangent is paralle...

    Text Solution

    |

  5. Write the value of (dy)/(dx), if the normal to the curve y=f(x) at (x,...

    Text Solution

    |

  6. Find the slope of the tangent to the curve y" "=" "x^3" "x" "a t" "x" ...

    Text Solution

    |

  7. Find the slope of tangent line to the curve : y=x^(2)-2x+1.

    Text Solution

    |

  8. Find the slope of the normal to the curve to y=x^(3)-x+1 at x=2.

    Text Solution

    |

  9. Find the slope of the normal to the curve x=1-asintheta,y=bcos^2thetaa...

    Text Solution

    |

  10. Find the equation of the tangent line to the curve y=sinx" at "x=(pi)/...

    Text Solution

    |

  11. Find the equation of the tangent line to the curve y=xtan^(2)x" at " x...

    Text Solution

    |

  12. Find the equation of the normal line to the curve f(x)=5x^(3)-2x^(2)-3...

    Text Solution

    |

  13. Find the angle between y=f(x) and y=2e^(2x) at their point of intersec...

    Text Solution

    |

  14. Using differentials, find the approximate values of the following : ...

    Text Solution

    |

  15. Find the minimum values of f(x)=x^(2)+(1)/(x^(2)), x gt 0

    Text Solution

    |

  16. Local maximum of f(x) =x +(1)/(x), where x lt 0, is

    Text Solution

    |

  17. Write the maximum value of f(x)=(logx)/x , if it exists.

    Text Solution

    |

  18. Find the maximum and minimum values, if any, of the following function...

    Text Solution

    |

  19. Show that the value of x^x is minimum when x =1/e.

    Text Solution

    |

  20. Find two positive numbers whose sum is 14 and product is maximum.

    Text Solution

    |