a) Find the slope of the line tangent to $f(x) = \ln x$ at the point $(e, 1)$ b) Find the slope of the line tangent to $g(x) = e^x$ at the point $(1, e)$ c) How are the slopes of $f(x)$ and $g(x)$ at these points related?
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To find the slope of the tangent line to f(x) at a given point, we need to find the derivative of f(x) and evaluate it at that point. The derivative of ln(x) is 1/x. Show more…
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