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How do you use the limit definition to find the slope of the tangent line to the graph #f(x) = 2x+4# at (1, 6)?

1 Answer

Sep 29, 2016

#2#

Explanation:

We have: #f(x) = 2 x + 4#

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

#=> f'(x) = lim_(h -> 0) (2 (x + h) + 4 - 2 x + 4) / (h)#

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

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

#=> f'(x) = 2#

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