1 answer

How do you find the derivative of #f(x)=3x+2# using the limit process?

Question:

How do you find the derivative of #f(x)=3x+2# using the limit process?

Answers

#f'(x)=3#

Explanation:

Recall that the derivative of any function #f(x)# is given by:

#f'(x)=lim_(h->0)# #((f(x+h)-f(x))/h)#

Let #f(x)=3x-2#

#f'(x)=lim_(h->0)# #((3(x+h)-2-(3x-2))/h)#

#=lim_(h->0)# #((3x+3h-2-3x+2)/h)#

#=lim_(h->0)# #((3h)/h)#

#=lim_(h->0)# #(3)=3#

.

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