Tangent Line Using Many Different Limit Configurations
Tangent Line Using Many Different Limit Configurations
The tangent line to the graph of at is the limiting position of the secant lines through the two points and as , for any constants .
y=f(x)
(,f())
x
0
x
0
(+ah,f(+ah))
x
0
x
0
(-bh,f(-bh))
x
0
x
0
h0
a,b>0