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![[Post New]](/templates/default/images/icon_minipost_new.gif) 6 Jun 2007 19:55:19 IST
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how to find diffrentiability by graph
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6 Jun 2007 21:33:38 IST
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Diiferentiation by graph is the slope of the tangent to the curve at that point.
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The Scientist does not study nature because it is useful; he studies it because he delights in it, & he delights in it because it is beautiful. If nature were not beautiful, it would not be worth knowing, life would not be worth living. Ofcourse I do not here speak of that beauty that strikes the senses, the beauty of qualities & appearances; not that I undervalue such beauty, far from it, but it has nothing to do with science; I mean that profounder beauty which comes from the harmoniuos order of the parts, & which a pure intelligence can grasp. |
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6 Jun 2007 21:37:47 IST
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For more details goto
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The Scientist does not study nature because it is useful; he studies it because he delights in it, & he delights in it because it is beautiful. If nature were not beautiful, it would not be worth knowing, life would not be worth living. Ofcourse I do not here speak of that beauty that strikes the senses, the beauty of qualities & appearances; not that I undervalue such beauty, far from it, but it has nothing to do with science; I mean that profounder beauty which comes from the harmoniuos order of the parts, & which a pure intelligence can grasp. |
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6 Jun 2007 21:41:37 IST
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See, differentiability at a point means the existence of a unique tangent at that point.
As an example consider the graph of y = |x|
There is no unique tangent at x = 0.
Hence the function y = |x| is non differentiable at x = 0
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