Home
Class 12
MATHS
If f(x)=|sinx-|cosx||, then the value of...

If `f(x)=|sinx-|cosx||,` then the value of `f^(')(x)` at `x=(7pi)/6` is

A

positive `y`-axis and positive `y`-axis respectively

B

`(1-sqrt(3))/2`

C

`0`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
In the neighborhood of `x=(7pi)/6`, we have `f(x)=|sinx+cosx|=-sinx-cosx`
`:.f^(')(x)=-cosx+sinx, f^(')((7pi)/6)=-cos((7pi)/6)+sin((7pi)/6)`
`f^(')((7pi)/6)=(sqrt(3)-1)/2`
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    RESONANCE ENGLISH|Exercise Math|105 Videos

  • TEST PAPER

    RESONANCE ENGLISH|Exercise MATHEMATICS|48 Videos

  • TEST SERIES

    RESONANCE ENGLISH|Exercise MATHEMATICS|132 Videos

Similar Questions

Explore conceptually related problems

If f (x) =|sin x-|cos x ||, then f '((7pi)/(6))=

f(x)=sinx+cosx+3 . find the range of f(x).

Let f(x) = |(2cos^2x, sin2x, -sinx), (sin2x, 2 sin^2x, cosx), (sinx, -cosx,0)| , then the value of int_0^(pi//2){f(x) + f'(x)} dx is

If f(x) = 2 sinx, g(x) = cos^(2) x , then the value of (f+g)((pi)/(3))

If f(x)=x+sinx , then find the value of int_pi^(2pi)f^(-1)(x)dx .

If F(x) = sinx+cosx, then the most general solution of F(x) = [F((pi)/(10))] are: (where [x] is the greatest integer less than or equal to 'x')

If f(x)=|cosx-sinx| , then f'(pi/4) is equal to

If f(x)=|cosx-sinx| , then f'(pi/2) is equal to

If f(x)=sinx + cosx . Then the most general solutions of f(x)=[f(pi/10)] is (where [x] is the gretest integer less than or equal to x)

Let f(x)=|(2cos^2x,sin2x,-sinx),(sin2x,2sin^2x,cosx),(sinx,-cosx,0)| . Then the value of int_0^(pi//2)[f(x)+f^(prime)(x)]dx is a. pi b. pi//2 c. 2pi d. 3pi//2

RESONANCE ENGLISH-TEST PAPERS-MATHEMATICS
  1. If lim(xrarr0)((cotx)(e^(x)-1)-cos^(2)x)/(sinx)=K,Kepsilonr then find ...

    Text Solution

    |

  2. The derivative of y = (1-x) (2-x)…(n-x) at x= 1 is

    Text Solution

    |

  3. If f(x)=|sinx-|cosx||, then the value of f^(')(x) at x=(7pi)/6 is

    Text Solution

    |

  4. The global maximum value of f(x)=(log)(10)(4x^3-12 x^2+11 x-3),x in [2...

    Text Solution

    |

  5. If 3(a+2c)=4(b+3d), then the equation a x^3+b x^2+c x+d=0 will have no...

    Text Solution

    |

  6. If 3f(cosx)+2f(sinx)=5x, then f^(')(cosx) is equal to (where f^(') den...

    Text Solution

    |

  7. "If "y=x^((x^(x)))," then "(dy)/(dx) is

    Text Solution

    |

  8. If f (x)=(4+x )^(n), n in N and f'(0) represents then r^(th) derivativ...

    Text Solution

    |

  9. Let f(x)=x/(1+x^2) and g(x)=(e^(-x))/(1+[x]) (where [.] denote greates...

    Text Solution

    |

  10. If the derivative of an odd cubic polynomial vanishes at two different...

    Text Solution

    |

  11. f (x)= {{:(3+|x-k|"," , x le k),(a ^(2) -2 + ( sin (x -k))/((x-k))"," ...

    Text Solution

    |

  12. Find the critical (stationary ) points of the function f(X)=(x^(5))/(2...

    Text Solution

    |

  13. If curve y=1-ax^(2) and y=x^(2) intersect orthogonally then a is

    Text Solution

    |

  14. If the relation between subnormal SN and subtangent ST on the curve, b...

    Text Solution

    |

  15. Find the point on the curve y=x^3-11 x+5 at which the tangent is y"...

    Text Solution

    |

  16. Find the equation of tangent to the hyperbola 16x^(2)-25y^(2)=400 perp...

    Text Solution

    |

  17. Find the rate of change of volume of a sphere with respect to its s...

    Text Solution

    |

  18. ((2x+3y)/5)+(2f(x)+3f(y))/5 and f^(')(0)=p and f(0)=q. Then f^(")(0) i...

    Text Solution

    |

  19. If the function f(x)=-4e^((1-x)/2)+1+x+(x^2)/2+(x^3)/3a n dg(x)=f^(-1)...

    Text Solution

    |

  20. If f''(x) =- f(x) and g(x) = f'(x) and F(x)=(f((x)/(2)))^(2)+(g((x)/(2...

    Text Solution

    |