Home
Class 12
MATHS
Find the point at which the slope of the...

Find the point at which the slope of the tangent of the function `f(x)=e^xcosx` attains maxima, when `x in [-pi,pi]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

If - pi/2 lt x lt pi/2 , then the range of the function f(x)=cos [x] is

The primitive of the function f(x) =xabs(cosx) , when x in (pi/2, pi) is

Find the intervals of decrease and increase for the function f(x)=cos(pi/x)

Separate the intervals of monotonocity of the function: f(x)=-sin^3x+3sin^2x+5,x in [-pi/2,pi/2]dot

Find the points at which the function f given by f(x)=x^3-3x has local minima and local maxima.

Find the points on the curve y = x^(3) at which the slope of the tangent is equal to the y-coordinate of the point.

Draw the graph of f(x) = xcosx-sinx, x in [-3pi, 3pi]

Verify the truth of Rolle's theorem for the functions: f(x)=e^(-x)sinx" in " [0, pi]

At what points in the interval [0, 2 pi ], does the function sin 2x attain its maximum value?

Discuss the maxima and minima of the function f(x)=x^(2/3)-x^(4/3)dot

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. Show that the cone of the greatest volume which can be inscribed in a ...

    Text Solution

    |

  2. If the curve y=a x^2-6x+b pass through (0,2) and has its tangent paral...

    Text Solution

    |

  3. Find the point at which the slope of the tangent of the function f(x)=...

    Text Solution

    |

  4. Find the equation of the tangent to the curve (1+x^2)y=2-x , where it ...

    Text Solution

    |

  5. An electric light is placed directly over the centre of a circular plo...

    Text Solution

    |

  6. A curve is given by the equation x=sec^(2)theta,y=cottheta. If the tan...

    Text Solution

    |

  7. Find the equations of the tangents drawn to the curve y^2-2x^3-4y+8...

    Text Solution

    |

  8. A square is inscribed in circle of radius R, a circle is inscribed in ...

    Text Solution

    |

  9. At the point P(a,a^n) on the graph of y=x^n(ninN) in the first quadran...

    Text Solution

    |

  10. Find the equation of the normal to the curve x^3+y^3=8x y at the point...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |