How do you find the derivative of f(x)=3x+2

Rosa Townsend

Rosa Townsend

Answered question

2022-04-14

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

Answer & Explanation

Austin Sherman

Austin Sherman

Beginner2022-04-15Added 12 answers

Recall that the derivative of any function f(x) is given by:
f(x)=limh0(f(x+h)f(x)h)
Let f(x)=3x-2
f(x)=limh0(3(x+h)2(3x2)h)
=limh0(3x+3h23x+2h)
=limh0(3hh)
=limh0(3)=3

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