Home
Class 12
MATHS
Show that |x-5| is continuous but not d...

Show that |x-5| is continuous but not differentiable at x =5.

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise EXERCISE|588 Videos

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE|211 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise EXERCISE|326 Videos

Similar Questions

Explore conceptually related problems

Show that f(x) = |x - 5| is continuous but not differentiable at x = 5.

Show that f(x) = |x-3|, x in R is continuous but not differentiable at x =3.

If f(x) = 3(2x + 3)^(2//3) + 2x + 3 , then: (a) f(x) is continuous but not differentiable at x = - (3)/(2) (b) f(x) is differentiable at x = 0 (c) f(x) is continuous at x = 0 (d) f(x) is differentiable but not continuous at x = - (3)/(2)

Show that f(x)={{:("x sin"(1)/(x)",","when",x ne 0),(0",","when",x = 0):} is continuous but not differentiable at x = 0

Show that the function f(x) = {:{(x^n sin(1/x), x ne 0),(0, x = 0):} is continuous but not differentiable at x= 0.

Show that f(x) = {:{(|2x-3|[x],xge1),(sin((pix)/(2)), x <1):} is continuous but not differentiable at x =1.

if f(x) ={{:( (x log cos x)/( log( 1+x^(2) )), x ne 0) ,( 0, x=0):} a. f is continuous at x = 0 b. f is continuous at x = 0 but not differentiable at x = 0 c. f is differentiable at x = 0 d. f is not continuous at x = 0

Show that the function 'f' defined as follows, is continuous at x = 2, but not differentiable there at: f(x) = {:{(3x-2,0 2):}

"Let "f(x)=phi(x)+Psi(x) where, phi'(x) and Psi'(x) are finite and definite. Then, a. f(x) is continuous at x = a b. f(x) is differentiable at x = a c. f'(x) is continuous at x = a d. f'(x) is differentiable at x = a

If the function of f(x) = [((x-5)^(3))/(A)]sin(x-5)+a cos(x - 2),"where"[*] denotes the greatest integer function, is continuous and differentiable in (7, 9), then find the value of A

MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Find dy/dx when tan^-1(x^2+y^2)=0

    Text Solution

    |

  2. Examine the differentiability of the function f(x) = {:{(x[x], if 0 le...

    Text Solution

    |

  3. Show that |x-5| is continuous but not differentiable at x =5.

    Text Solution

    |

  4. A function f : R rarr R satisfies the equation f(x = y) = f(x) . f(y) ...

    Text Solution

    |

  5. If x=e^(x//y), prove that (dy)/(dx) = (x-y)/(xlogx)

    Text Solution

    |

  6. Verify the Lagrange's Mean Value Theorem for the functions: f(x) = 1...

    Text Solution

    |

  7. Verify LMV Theorem for the following: f(x) = sin x - sin 2x in[0,pi]

    Text Solution

    |

  8. Verify LMV Theorem for the following: f(x) = sqrt(25-x^2)in[1,5]

    Text Solution

    |

  9. The function f(x) = {{:(("sin x")/(x)+ cos x ,if x != 0),(k , if x = 0...

    Text Solution

    |

  10. The function f(x) = [x], where [x] denotes the greatest integer functi...

    Text Solution

    |

  11. The value of 'k' which makes the function defined by : f(x) = {:{(sin(...

    Text Solution

    |

  12. If u = sin^-1(2x/(1+x)^2) and v = tan^-1(2x/(1-x^2)), the du/dv is

    Text Solution

    |

  13. If x=t^2, y = t^3, then (d^2y)/(dx^2) is

    Text Solution

    |

  14. The value of 'c' in Rolle's Theorem for the function f(x) =x^3 - 3x in...

    Text Solution

    |

  15. The value of 'c' in mean Value Theorem for the function f(x) =x(x-2) i...

    Text Solution

    |

  16. The derivative of f(x) =|x | at x=0 is

    Text Solution

    |

  17. The derivative of log(ax+b) is

    Text Solution

    |

  18. If f(x) = {:{(kx+1,xle5),(3x-5,x>5):} s is a continuous function then ...

    Text Solution

    |

  19. The derivative of sin^3 (x^5) w.r.t. x is

    Text Solution

    |

  20. If y = log(cose^x), then dy/dx = ……….

    Text Solution

    |