Introduction to differentiation: Definition of differentiation
The notion of difference quotient
Below you see the graph of the function #f(x)=\frac{1}{5}x^2+2# and the tangent line #l# to #f# at the point #\rv{1,{{11}\over{5}}}#. You can also see the line #m# through #\rv{1, {{11}\over{5}}}# and #\rv{2,{{14}\over{5}}}#. 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, {{11}\over{5}}}# and #\rv{2, {{14}\over{5}}}# is |
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