Negative the derivative of f(x), divided by f(x) squared.
-f'(x) / f²(x)
Wherever a function is differentiable, it must also be continuous. The opposite is not true, however. For example, the absolute value function, f(x) =|x|, is not differentiable at x=0 even though it is continuous everywhere.
The absolute value of x, |x|, is defined as |x| = x, x>=0; -x, x<0. If you derive this, then you will find that the derivative is 1 when x>=0, and -1 when x<0. But this means that the derivative as x approaches 0 from the left does not equal the derivative as x approaches 0 from the right, as -1=/=1. So the limit as x approaches 0 does not exist, and therefore the gradient does not exist at that point, and so |x| cannot be differentiated at x = 0.
Zero (0) cannot be divided
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0 cannot be divided
Water cannot be divided by oxygen.
0.0659
No. 234569 is larger than 593 and so 593 cannot be divided by it, and it cannot de divided by 10.
7.5833
atom
qsqsdf
Zero