Home
Class 12
MATHS
The curve f(x) = e^(x) sin x is defined ...

The curve `f(x) = e^(x) sin x` is defined in the interval `[0, 2pi]`. The value of x for which the slope of the tangent drawn to the curve at x is maximum, is

A

`(pi)/(4)`

B

`(pi)/(2)`

C

`(pi)/(6)`

D

`(pi)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • AP EAMCET ENGINEERING ENTRANCE EXAM QUESTION PAPER 2017 (SOLVED)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise Mathematics|80 Videos
  • AP EAMCET SOLVED PAPER 2019

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|58 Videos

Similar Questions

Explore conceptually related problems

The slope of the tangent to the curve y=sinx at x=pi//4 is

The slope of the tangent to the curve y=6+x-x^2 at (2,4) 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 = 3x^(4) – 4x at x = 4.

The slope of the tangent to the curve x=at^3,y=at^4 at t=1 is

Slope of the normal to the curve y=cos2x "at" x=pi//6 is

The slope of the tangent to the curve f(x) = tan h^(-1) (sin x) at x = pi is

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

TS EAMCET PREVIOUS YEAR PAPERS-AP EAMCET SOLVED PAPER 2018 ( 23-04-2019,SHIFT -1)-Mathematics
  1. If a line makes angles tan^(-1) sqrt7, tan^(-1) (sqrt5)/(sqrt3) with x...

    Text Solution

    |

  2. A plane passes through the point (3, 5, 7). If the direction ratios of...

    Text Solution

    |

  3. If f: [0,2) rarr R is defined by f(x) = {(1 + (2k)/(k) " for " ,0 le x...

    Text Solution

    |

  4. If the function f : R rarr R defined by f(x) = {((sin(a +1) x + sin x...

    Text Solution

    |

  5. Let f be defined on D = R-{-1,1} by f(x) = (|x|)/(1-|x|), then

    Text Solution

    |

  6. If x= sec theta - cos theta, y = sec' theta - cos'' theta, then (dy)/(...

    Text Solution

    |

  7. If y = a sin x + (5 + 2x) cos x, " then " y'' + y =

    Text Solution

    |

  8. The area (in sq. units) of the triangle formed by the tangent and the ...

    Text Solution

    |

  9. The interval in which the function f(x) = 2x^(2) - log x, for x gt 0 d...

    Text Solution

    |

  10. If f(x) = (x-1) (x-2) (x-3) " for ' x in [0,4] then the value of c in ...

    Text Solution

    |

  11. The curve f(x) = e^(x) sin x is defined in the interval [0, 2pi]. The ...

    Text Solution

    |

  12. int ((x-1)dx)/((x+1)sqrt(x^(3)+x^(2)+x))=

    Text Solution

    |

  13. int (cos^(3)x + cos^(5) x)/(sin^(2)x + sin^(4) x) dx =

    Text Solution

    |

  14. int (dx)/(tan x + cot x + sec x + cosec x) =

    Text Solution

    |

  15. If f(x) = int cosec^(2) x dx, then f ((pi)/(4)) =

    Text Solution

    |

  16. If a and b are positive integers such that b gt a then underset(n rarr...

    Text Solution

    |

  17. int(0)^(pi) (x tan x)/( sec x + tan x) dx=

    Text Solution

    |

  18. The area in the first quadrant enclosed by the axis, the line x=ysqrt(...

    Text Solution

    |

  19. If l and m are the degree and the order respectively of the differenti...

    Text Solution

    |

  20. An integrating factor of the differential equation cos^(2) x (dy)/(dx)...

    Text Solution

    |