Introduction to differentiation: Definition of differentiation
The notion of difference quotient
Below you see the graph of the function #f(x)=\frac{1}{2}x^2+0# and the tangent line #l# to #f# at the point #\rv{1,{{1}\over{2}}}#. You can also see the line #m# through #\rv{1, {{1}\over{2}}}# and #\rv{2,2}#. Both points lie on the graph of #f#.
Approximate the slope of the tangent line #l# by calculating the slope of line #m#.
Approximate the slope of the tangent line #l# by calculating the slope of line #m#.
| The slope of the line #m# through #\rv{1, {{1}\over{2}}}# and #\rv{2, 2}# is |
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