Home
Class 12
MATHS
At x = 5pi/6, f(x) = 2 sin 3x + 3 cos 3 ...

At `x = 5pi/6`, f(x) = 2 sin 3x + 3 cos 3 x is

A

maximum

B

minimum

C

zero

D

neither maximum nor minimum

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    PRADEEP PUBLICATION|Exercise EXERCISE|502 Videos

  • APPLICATIONS OF INTEGRALS

    PRADEEP PUBLICATION|Exercise EXERCISE|162 Videos

Similar Questions

Explore conceptually related problems

3sin^(2)x-7sin x +2=0, x in [0,(pi)/(2)] and f_(n)(theta)=sin^(n) theta + cos^(n) theta . On the basis of above information, the value of ( sin 5 x + sin 4 x)/( 1+ 2 cos 3 x) is:

Find the intervals in which : f(x) sin 3x - cos 3x, 0 < x < pi , is strictly increasing or strictly decreasign.

Prove that: (sin 3x + sin x) sin x + (cos 3x -cos x) cos x = 0

Let a and b be constants f(x) = a sin x + bx cos x + 2x^2 If f(3) = 15, then f(-3) is

The period of the function f(x) = (sin x + sin 3x - sin 5x + sin 7x)/(cos x + cos 3x + cos 5x + cos 7x) is

Prove that f(x) = sin x + sqrt3 cos x has maximum value at x = pi//6

The minimum value of the function f(x)=(3 sin x - 4 cos x - 10)(3 sin x + 4 cos x-10) , is

Prove that: sin x + sin 3x + sin 5x + sin 7x= 4 cos x cos 2x sin 4x

Find the intervals in which the function given by f(x) = sin 3x , x in [ 0, pi/2 ] is increasing.

PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
  1. The point on the curv3e y = sqrt(4x-3)-1, at which the slope of the ta...

    Text Solution

    |

  2. The point on the curve y = x^2 - 4 x + 4 at which the tangent is paral...

    Text Solution

    |

  3. The tangent to the curve given by: x=e^t cos t,y =e^t sin t at t = pi/...

    Text Solution

    |

  4. The tangent to the curve y=e^(2x) at the point (0, 1) meets x-axis at ...

    Text Solution

    |

  5. The points at which the tangents to the curve y=x^(3)-12x+18 are paral...

    Text Solution

    |

  6. The point at which the curves x^2 =y and y^2 = x cut orthogonally is

    Text Solution

    |

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

    Text Solution

    |

  8. If the curve at ay+x^(2)=7 and x^(3)=y, cut orthogonally at (1, 1), th...

    Text Solution

    |

  9. The function f(x) = x has

    Text Solution

    |

  10. The function f(x) = 2x^3 - 6x^2 + 6x + 5 has

    Text Solution

    |

  11. Let f(x) = {:{(|x| for 0<|x|le1), (1 for x = 0):} then

    Text Solution

    |

  12. The abscissa of the point on the curve 3y=6x-5x^3, the normal at which...

    Text Solution

    |

  13. At x = 5pi/6, f(x) = 2 sin 3x + 3 cos 3 x is

    Text Solution

    |

  14. The two curves x^3 - 3x y^2 + 2 = 0 and 3x^2y - y^3 - 2 = 0 intersect ...

    Text Solution

    |

  15. The function f(x) = loge(x^3 + sqrt(x^6 +1)) is

    Text Solution

    |

  16. Let f(X) = tan^-1 g(x), where g (x) is monotonically increasing for 0<...

    Text Solution

    |

  17. Function f(X) = cos x - 2 lambdax is monotonic decreasing when

    Text Solution

    |

  18. Let g(x)=2f(x/2)+f(2-x) and f''(x) < 0 AA x in (0,2). If g(x) increa...

    Text Solution

    |

  19. f(x) = logAx is increasing on R, if

    Text Solution

    |

  20. The function f(x) = a^x is strict decreasing on R, If

    Text Solution

    |