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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 - Mathematics

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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

पर्याय

  • 3

  • 2

  • 1

  • 4

MCQ
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उत्तर

2

shaalaa.com
Differentiation Rules
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 10: Differential Calculus - Differentiability and Methods of Differentiation - Exercise 10.5 [पृष्ठ १७९]

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सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 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:

y = ex sin x


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

y = `x/(sin x + cosx)`


Differentiate the following:

f(t) = `root(3)(1 + tan "t")`


Differentiate the following:
y = e–mx 


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


Differentiate the following:

y = `5^((-1)/x)`


Differentiate the following:

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


Find the derivatives of the following:

`x^2/"a"^2 + y^2/"b"^2` = 1


Find the derivatives of the following:
tan (x + y) + tan (x – y) = x


Find the derivatives of the following:

`tan^-1 = ((6x)/(1 - 9x^2))`


Find the derivatives of the following:

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


Find the derivatives of the following:

x = a (cos t + t sin t); y = a (sin t – t cos t)


Find the derivatives of the following:

`tan^-1 ((cos x + sin x)/(cos x - sin x))`


Find the derivatives of the following:

Find the derivative of `sin^-1 ((2x)/(1 + x^2))` with respect to `tan^-1 x`


Choose the correct alternative:

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


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


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