Original
Approximate {{MATH_1}} by hand using the idea of linear
approximation (of a conveniently chosen function, and base point).
{{CMD_2}}
Let {{MATH_3}} and {{MATH_4}}.
{{CMD_5}}
{{CMD_6}}
Evaluate.
{{MATH_7}},
{{MATH_8}},
{{MATH_9}}.
{{CMD_10}}
{{CMD_11}}
Find an expression for {{MATH_12}}, the linear approximation of {{MATH_13}} at {{MATH_14}}.
{{CMD_15}}
{{CMD_16}}
{{MATH_17}}
{{CMD_18}}
{{CMD_19}}
{{MATH_20}}
{{CMD_21}}
{{CMD_22}}
Approximate.
{{MATH_23}}
{{CMD_24}}
{{CMD_25}}
{{MATH_26}}
{{CMD_27}}