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Discussion in 'Mathematics' started by fudgesweets, Jan 13, 2012.
If you differentiate x=1 for example, what is the answer?
Differentiate with respect to what?
It has a gradient of inifinity (which doesn't exist) of course!
cyolba, opening a whole can of worms
Diff x wrt y gives
and use chain rule
which gives the required result.
The x axis has gradient 0. The y axis has gradient 1/0 (as above.)
The product of the gradients of 2 perpendicular lines is -1
1\0 x 0 = -1
Michael - that is naughty - behave!
Sry - bit of a sense of humour failure!
Yes, both 0/0 and 0 to the power 0 are classed as indeterminate values since they can be shown to take any value. For example limit as x tends to 3 of (x squared -9)/(x-3) tends to 0/0 but also tends to the value of 6. Using similar arguments you can shown that 0/0 tends to any value you choose.