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How do you use the definition of a derivative to find the derivative of # f(x) = 10 #?

1 Answer

Konstantinos Michailidis

Mar 20, 2016

The definition of the derivative is

#f'(x)=lim_(x->x_o) [f(x)-f(x_o)]/[x-x_o]#

Hence for #f(x)=10# we have that

#f'(x)=lim_(x->x_o) [10-10]/[x-x_o]=0#

Finally #f'(x)=0#

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