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Use linear approximation, i.e. the tangent line, to approximate
` root(3)( 1.3 ) ` as follows:
Let ` f(x) = root(3)(x) `. The equation of the tangent line to ` f(x) ` at ` x = 1 ` can be written in the form ` y = mx+b `
where ` m ` is:
and where ` b ` is:
Using this, we find our approximation for ` root(3)(1.3) ` is
Let ` f(x) = root(3)(x) `. The equation of the tangent line to ` f(x) ` at ` x = 1 ` can be written in the form ` y = mx+b `
where ` m ` is:
and where ` b ` is:
Using this, we find our approximation for ` root(3)(1.3) ` is
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0.33333333333333
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0.66666666666667
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1.1