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  • Let <img alt="\mathrm{f:\left(\frac{-\pi}{2}, \frac{\pi}{2}\right) \rightarrow R}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7Bf%3A%5Cleft%28%5Cfrac%7B-%5Cpi%7D%7B2%7D%2C%20%5C

Let \mathrm{f:\left(\frac{-\pi}{2}, \frac{\pi}{2}\right) \rightarrow R} be a function defined by \mathrm{f(x)=\max \left(\sin x, \tan ^2 x\right)}. The number of points where f(x) is not differentiable is

Option: 1

2


Option: 2

3


Option: 3

4


Option: 4

none of these 


Answers (1)

best_answer

Drawing the graph of \mathrm{y=\sin x\, \, and \, \, y=\tan ^2 x}

\mathrm{f(x)=\max \left(\sin x, \tan ^2 x\right)} is shown by darken line.

From it is clear f(x) is not differentiable at two points.

Posted by

vinayak

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