Is the $x$-axis a differentiable function?
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What is your question? It is not clear what you are asking. – operatorerror Jun 16 '16 at 22:23
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3"The x-axis" is the function $f(x) = 0$, which infinetly differentiable, every derivative is identical $0$. – Maximilian Gerhardt Jun 16 '16 at 22:24
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I've edited your post to make it more understandable - please verify that I didn't change the intended meaning of your question. – Irregular User Jun 16 '16 at 22:47
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The x-axis is not a function. It is a set of points. You can associate it to the zero function as per @MaximilianGerhardt's comment, but that is a bit of an artificial association. – Cameron Williams Jun 16 '16 at 22:47
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1@downvoters I don't think that English is OP's first language, so perhaps instead of just downvoting the question and driving a new user away from the site, it would be more productive to leave a comment as qbert has. Looking at OP's past questions no one has bothered to tell this newbie how to post. I realise that OP should have read the tour, but it's possible that since English is not native to them that they didn't understand some parts of it. – Irregular User Jun 16 '16 at 22:52
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1Actually my question is Is y=0 is a differentiable function? – taniya kapoor Jun 17 '16 at 09:50
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@taniyakapoor yes, it is. The derivative is again, $y=0$ and so forth. It's infinitely differentiable, and is also infinitely integrateable, as are all polynomials (it is effectively one, as it can be written as $0x^0$) – Brevan Ellefsen Jun 17 '16 at 17:08