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Log function graph
- Thread starter JSmith
- Start date
D
Deleted member 4993
Guest
What can you say about the slope of the lines tangent to the graph of f(x) = logx as x gets smaller?
Thoughts?
Please share your thoughts - we will expound on it!
D
Deleted member 4993
Guest
I would state that:
The slope of the tangent line = 1/x
hence as x → 0+, the slope increases without bounds.[f(x) = log(x) is undefined in real domain for x<0]
The slope of the tangent line = 1/x
hence as x → 0+, the slope increases without bounds.[f(x) = log(x) is undefined in real domain for x<0]
Yes they (the slopes of the tangent lines) would be increasing in slope as x decreases. (By error, I originally said "as x increases." I was trying to confirm that the OP had got the right answer and then adding on. Subhotosh kindly pointed out my mistake. Thanks SK.)They would be increasing in slope, no? is there anything else?
As x becomes very large, its slope approaches what?
As x approaches zero, its slope approaches what?
So log(x) approaches what as x approaches zero?
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