Proof of the derivative of a constant, Mathematics

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Proof of the Derivative of a Constant: d(c)/dx = 0

It is very easy to prove by using the definition of the derivative therefore define, f(x) = c and the utilize the definition of the derivative.

 f'(x) = limh→0 (f(x +h) - f(x))/h

 = limh→0 (c - c)/h

= limh→0 0 = 0

 


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