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The Function F (X) = 1 + |Cos X| is

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प्रश्न

The function f (x) = 1 + |cos x| is

विकल्प

  • continuous no where

  • continuous everywhere

  •  not differentiable at x = 0

  • not differentiable at x = n π, n ∈ Z

MCQ
संक्षेप में उत्तर
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उत्तर

(b) continuous everywhere
Graph of the function f (x) = 1 + |cos x| is as shown below:

From the graph, we can see that f (x) is everywhere continuous but not differentiable at

\[x = \left( 2n + 1 \right)\frac{\pi}{2}, n \in Z\]
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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 9: Differentiability - Exercise 10.4 [पृष्ठ १९]

APPEARS IN

आर.डी. शर्मा Mathematics Volume 1 and 2 [English] Class 12
अध्याय 9 Differentiability
Exercise 10.4 | Q 18 | पृष्ठ १९

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