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Examine the differentiability of functions in R by drawing the diagram |sin x| - Mathematics

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प्रश्न

Examine the differentiability of functions in R by drawing the diagram

|sin x|

आकृती

उत्तर

|sin x| = f(x)


Limit exist and continuous for all x ∈ R clearly, differentiable at R – {nπ n ∈ z) Not differentiable at x = nπ, n ∈ z.

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Differentiability and Continuity
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 10: Differential Calculus - Differentiability and Methods of Differentiation - Exercise 10.1 [पृष्ठ १४७]

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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 10.1 | Q 7. (i) | पृष्ठ १४७

संबंधित प्रश्‍न

Find the derivatives of the following functions using first principle.

f(x) = – 4x + 7


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f(x) = – x2 + 2


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`f(x) = sqrt(1 - x^2)`


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f(x) = |x2 – 1| at x = 1


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f(x) = |x| + |x – 1| at x = 0, 1


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`f(x) = {{:(-x + 2, x ≤ 2),(2x - 4, x > 2):}` , x = 2


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`f(x) = {{:(3x",", x < 0),(-4x",", x ≥ 0):}` , x = 0


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