English
Tamil Nadu Board of Secondary EducationHSC Science Class 11

Choose the correct alternative: The number of points in R in which the function f(x) = |x – 1| + |x – 3| + sin x is not differentiable, is

Advertisements
Advertisements

Question

Choose the correct alternative:

The number of points in R in which the function f(x) = |x – 1| + |x – 3| + sin x is not differentiable, is

Options

  • 3

  • 2

  • 1

  • 4

MCQ
Advertisements

Solution

2

shaalaa.com
Differentiation Rules
  Is there an error in this question or solution?
Chapter 10: Differential Calculus - Differentiability and Methods of Differentiation - Exercise 10.5 [Page 179]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 10 Differential Calculus - Differentiability and Methods of Differentiation
Exercise 10.5 | Q 25 | Page 179

RELATED QUESTIONS

Find the derivatives of the following functions with respect to corresponding independent variables:

y = sin x + cos x


Find the derivatives of the following functions with respect to corresponding independent variables:

y = (x2 + 5) log(1 + x) e–3x 


Differentiate the following:
y = `root(3)(1 + x^3)`


Differentiate the following:
y = 4 sec 5x


Differentiate the following:
y = (1 + cos2)6


Differentiate the following:
y = `sqrt(x +sqrt(x)`


Differentiate the following:
y = `sqrt(x + sqrt(x + sqrt(x)`


Differentiate the following:

y = `sin^-1 ((1 - x^2)/(1 + x^2))`


Find the derivatives of the following:
xy = yx


Find the derivatives of the following:

If cos(xy) = x, show that `(-(1 + ysin(xy)))/(xsiny)`


Find the derivatives of the following:

Find the derivative of sin x2 with respect to x2 


Find the derivatives of the following:

Find the derivative with `tan^-1 ((sinx)/(1 + cos x))` with respect to `tan^-1 ((cosx)/(1 + sinx))`


Find the derivatives of the following:

If x = a(θ + sin θ), y = a(1 – cos θ) then prove that at θ = `pi/2`, yn = `1/"a"`


Find the derivatives of the following:

If sin y = x sin(a + y), the prove that `("d"y)/("d"x) = (sin^2("a" + y))/sin"a"`, a ≠ nπ


Choose the correct alternative:

`"d"/("d"x) (2/pi sin x^circ)` is


Choose the correct alternative:

If y = `1/4 u^4`, u = `2/3 x^3 + 5`, then `("d"y)/("d"x)` is 


Choose the correct alternative:

If x = a sin θ and y = b cos θ, then `("d"^2y)/("d"x^2)` is


Choose the correct alternative:

The differential coefficient of `log_10 x` with respect to `log_x 10` is


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×