Home
Class 12
MATHS
The maximum slope of the tangent to the ...

The maximum slope of the tangent to the curve `y=e^(x)sinx,x in[0,2pi]` is at

A

`x=(pi)/(4)`

B

`x=(pi)/(2)`

C

`x=pi`

D

`x=(3pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED|56 Videos

  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    FULL MARKS|Exercise EXERCISE - 7.9|2 Videos

  • APPLICATIONS OF INTEGRATION

    FULL MARKS|Exercise ADDITIONAL PROBLEMS|35 Videos

Similar Questions

Explore conceptually related problems

The maximum slope of the tangent to the curve y = e^(x) sin x, x in [0, 2pi] is at:

The slope of the tangent to the curve y = 3x^(2) + 4 cos x " at " x = 0 is

Find the slope of the tangent to the curve y = x^(3) – x at x = 2.

Find the slope of the tangent to the curve y= (x-1)/(x-2), x ne 2 at x = 10.

Find the slope of the tangent to the curve y = 3x^(4) – 4x at x = 4.

The equation of the tangent tothe curve y={x^2 sin(1/x),x!=0 and 0, x=0 at the origin is

Find the length of sub-tangent to the curve y=e^(x//a)

The slope of the normal to the curve y = 2x^(2) + 3 sin x at x = 0 is

Find the slope of the tangent to the curve y = x^(3) –3x + 2 at the point whose x-coordinate is 3.

Find the equation of the curve passing through the point (0,1), if the slope of the tangent to the curve at any point (x,y), is equal to the sum of x coordinate and product of x coordinate and y coordinate of that point.

FULL MARKS-APPLICATIONS OF DIFFERENTIAL CALCULUS -EXERCISE - 7.10
  1. The volume of a sphere is increasing in volume at the rate of 3picm^(3...

    Text Solution

    |

  2. A balloon rises straight up at 10m/s. An observer is 40 m away from th...

    Text Solution

    |

  3. The position of a particle moving along a horizontal line of any time ...

    Text Solution

    |

  4. A stone is thrown up vertically. The height it reaches at time t secon...

    Text Solution

    |

  5. Find the slope for x=2 in f(x)=x^(3)+2

    Text Solution

    |

  6. The abscissa of the point on the curve f(x)=sqrt(8-2x) at which the sl...

    Text Solution

    |

  7. The slope of the line normal to the curve f(x)=2cos4x" at "x=pi/12 is

    Text Solution

    |

  8. The tangent to the curve y^(2)-xy+9=0 is vertical when ……………… .

    Text Solution

    |

  9. Angle between y^(2)=xandx^(2)=y at the origin is

    Text Solution

    |

  10. What is the value of the limit underset (xrarr0)lim (cot x-(1)/(x))?

    Text Solution

    |

  11. The function sin^(4)x+cos^(4)x is increasing in the interval

    Text Solution

    |

  12. The number given by the Rolle's theorem for the function x^(3)-3x^(2),...

    Text Solution

    |

  13. The number given by the Mean value theorem for the function 1/x,x in[1...

    Text Solution

    |

  14. The minimum value of the function |3-x|+9 is

    Text Solution

    |

  15. The maximum slope of the tangent to the curve y=e^(x)sinx,x in[0,2pi] ...

    Text Solution

    |

  16. The maximum value of the function x^(2)e^(-2x),xgt0 is

    Text Solution

    |

  17. One of the closest points on the curve x^(2)-y^(2)=4 to the point (6, ...

    Text Solution

    |

  18. The maximum value of the product of two positive numbers, when their s...

    Text Solution

    |

  19. The curve y=ax^(4)+bx^(2)" with "abgt0

    Text Solution

    |

  20. The point of inflection of the curve y=(x-1)^(3) is

    Text Solution

    |