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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

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प्रश्न

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

विकल्प

  • 3

  • 2

  • 1

  • 4

MCQ
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उत्तर

2

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Differentiation Rules
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 10: Differential Calculus - Differentiability and Methods of Differentiation - Exercise 10.5 [पृष्ठ १७९]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
अध्याय 10 Differential Calculus - Differentiability and Methods of Differentiation
Exercise 10.5 | Q 25 | पृष्ठ १७९

संबंधित प्रश्न

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

f(x) = x – 3 sin x


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

g(t) = 4 sec t + tan t


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

y = ex sin x


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

y = `tan x/x`


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

Draw the function f'(x) if f(x) = 2x2 – 5x + 3


Differentiate the following:
y = sin (ex)


Differentiate the following:

h(t) = `("t" - 1/"t")^(3/2)`


Differentiate the following:
y = e–mx 


Differentiate the following:
y = (2x – 5)4 (8x2 – 5)–3 


Differentiate the following:

y = `x"e"^(-x^2)`


Differentiate the following:
y = `sqrt(1 + 2tanx)`


Differentiate the following:
y = `"e"^(xcosx)`


Find the derivatives of the following:
y = `x^(logx) + (logx)^x`


Find the derivatives of the following:

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


Find the derivatives of the following:

`cos[2tan^-1 sqrt((1 - x)/(1 + x))]`


Find the derivatives of the following:

`cos^-1 ((1 - x^2)/(1 + x^2))`


Choose the correct alternative:

If the derivative of (ax – 5)e3x at x = 0 is – 13, then the value of a is


Choose the correct alternative:

If y = `(1 - x)^2/x^2`, then `("d"y)/("d"x)` is


Choose the correct alternative:

If f(x) = `{{:(x - 5,  "if"  x ≤ 1),(4x^2 - 9,  "if"  1 < x < 2),(3x + 4,  "if"  x ≥ 2):}` , then the right hand derivative of f(x) at x = 2 is


Choose the correct alternative:

If f(x) = `{{:("a"x^2 - "b"",", - 1 < x < 1),(1/|x|",",  "elsewhere"):}` is differentiable at x = 1, then


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