Question
Explain how to use the derivative to compute the slopes of various tangent lines to the graph of a function.
Step 1
The derivative of a function at a certain point gives the slope of the tangent line at that point. The derivative, $f'(x)$, is found using the limit definition of the derivative: \[f'(x) = \lim _{h \rightarrow 0} \frac{f(x+h)-f(x)}{h}\] Show more…
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