Introduction
The fundamental idea in differential calculus is that a function can be ``locally'' approximated by its tangent line.For instance consider the function
near 
. Since its derivative at 
equals 
, the tangent line at can be written as
In the picture below, the sine function is black, while its tangent line is depicted in red. Close to
, both are quite close! |
Try it yourself!
Find an equation for the tangent line of the function
at the point 
. 
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