Home
Class 12
MATHS
If f(x)=max{sinx ,sin^(-1)(cosx)}, then ...

If `f(x)=max{sinx ,sin^(-1)(cosx)},` then `f` is differentiable everywhere `f` is always continuous `f` is discontinuous at `x=(npi)/2,n in I` `f` is not differentiable everywhere

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If f(x)=max{sin x,sin^(-1)(cos x)}, then f is differentiable everywhere f is always continuous f is discontinuous at x=(n pi)/(2),n in If is not differentiable everywhere

The function f(x)=|cos sx| is everywhere continuous and differentiable everywhere continuous but not differentiable at (2n+1)(pi)/(2),n in Z .neither continuous not differentiable at (2x+1)(pi)/(2),n in Z

The function f(x)=|cos x| is (a) everywhere continuous and differentiable (b) everywhere continuous but not differentiable at (2n+1)pi/2,n in Z(c) neither continuous nor differentiable at (2n+1)pi/2,n in Z(d) none of these

Statement-1: If f(x+y)=f(x)+f(y), then fis either differentiable everywhere or not differentiable everywhere.Statement-2: Any function is either differentiable everywhere or not differentiable everywhere

If f(x) is differentiable everywhere, then which one of the following is correct?

If f(x) is differentiable everywhere, then which one of the following is correct?

Let f(x)=(x+|x|)|x|. then,for all x*f is continuous (b) f is differentiable for some xf is continuous (d) f' is continuous

Let f(x)=|sin x|. Then,(a) f(x) is everywhere differentiable.(b) f(x) is everywhere continuous but not differentiable at x=n pi,n in Z(c)f(x) is everywhere continuous but not differentiable at x=(2n+1)(pi)/(2),n in Z.( d) none of these

RESONANCE DPP-JEE MAINS-All Questions
  1. Find the sum 1/(1+sqrt(2))+1/(sqrt(2)+sqrt(3))+1/(sqrt(3)+sqrt(4))+......

    Text Solution

    |

  2. Find the integral solutions of the equation 4(log)(x//2)(x)+2(log)(...

    Text Solution

    |

  3. If f(x)=max{sinx ,sin^(-1)(cosx)}, then f is differentiable everywhere...

    Text Solution

    |

  4. Find the lengths of the major and minor axes and the eccentricity o...

    Text Solution

    |

  5. Solve the equation for x : log4+(1+1/(2x))log3=log(root(x)3+27)

    Text Solution

    |

  6. If xx=sqrt(3)+sqrt(2), then find xx+1/x,x^(2)+(1)/(x^(2)),x^(3)+(1)/(x...

    Text Solution

    |

  7. Difference in values of the radius of a circle whose center is at the ...

    Text Solution

    |

  8. The value of ' x ' satisfying the equation, 4^((log)9 3)+9^((log)2 4)=...

    Text Solution

    |

  9. Twenty coupons are numbered 1,2,3......, 20 respectively. Four coup...

    Text Solution

    |

  10. If (log)3x=aa n d(log)7x=b , then which of the following is equal to ...

    Text Solution

    |

  11. Which of the following statements are true and which false ? {:((i),...

    Text Solution

    |

  12. Let A=[1 4 2 3]&A^4-4A^3-5A^2+2I=lambdaI (' I ' is the unit matrix of...

    Text Solution

    |

  13. If sintheta+sinvarphi=a and costhetavarphi+cosvarphi=b , then cos(...

    Text Solution

    |

  14. If 5x^2-2kx+1 < 0 has exactly one integral solution which is 1 then su...

    Text Solution

    |

  15. If log15=aa n dlog75=b ,t h e n(log)(75)45 is: (3b-a)/a b. (b-3a)/a c....

    Text Solution

    |

  16. Let A={varphi{varphi},1,{1,varphi},2}dot Which of the following are tr...

    Text Solution

    |

  17. Let A={varphi{varphi},1,{1,varphi},2}dot Which of the following are tr...

    Text Solution

    |

  18. Let N=(4^5+4^5+4^5+4^5)/(3^5+3^5+3^5)dot(6^5+6^5+6^5+6^5+6^5+6^5)/(2^5...

    Text Solution

    |

  19. In a A B C , if r1+r3+r=r2, then sec^2A+cos e c^2B is equal to 1-cos^...

    Text Solution

    |

  20. Let A={varphi{varphi},1,{1,varphi},2}dot Which of the following are tr...

    Text Solution

    |