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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:

g(t) = t3 cos t


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

y = `sinx/(1 + cosx)`


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

y = tan θ (sin θ + cos θ)


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


Differentiate the following:

y = `(x^2 + 1) root(3)(x^2 + 2)`


Differentiate the following:
y = tan (cos x)


Differentiate the following:
y = sin3x + cos3x


Find the derivatives of the following:

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


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 x2 with respect to x2 


Find the derivatives of the following:

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


Find the derivatives of the following:

If y = `(sin^-1 x)/sqrt(1 - x^2)`, show that (1 – x2)y2 – 3xy1 – y = 0


Choose the correct alternative:

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


Choose the correct alternative:

If y = `1/("a" - z)`, then `("d"z)/("d"y)` is


Choose the correct alternative:

If y = cos (sin x2), then `("d"y)/("d"x)` at x = `sqrt(pi/2)` 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:

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


Choose the correct alternative:

If f(x) = `{{:(2"a" - x,  "for"  - "a" < x < "a"),(3x - 2"a", "for"  x ≥ "a"):}` , then which one of the following is true?


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