Introduction to differentiation: Definition of differentiation
The notion of difference quotient
Below you see the graph of the function #f(x)=\frac{1}{10}x^2+5# and the tangent line #l# to #f# at the point #\rv{2,{{27}\over{5}}}#. You can also see the line #m# through #\rv{2, {{27}\over{5}}}# and #\rv{3,{{59}\over{10}}}#. 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{2, {{27}\over{5}}}# and #\rv{3, {{59}\over{10}}}# is |
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