Hidden Label: left parenthesis, "b" , "f" left parenthesis, "b" , right parenthesis , right parenthesisb,fb
Label
equals=
left parenthesis, negative 1.4 4 , 4.7 8 8 0 3 2 , right parenthesis−1.44,4.788032
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Expression 6: "b" equals negative 1.4 4b=−1.44
negative 10−10
1010
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Next I need the line of tangency. The slope will be the derivative of f (label it g), and I'll write the equation of the line in point-slope form to avoid the algebra.
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Expression 8: "g" left parenthesis, "x" , right parenthesis equals StartFraction, "d" Over "d" "x" , EndFraction "f" left parenthesis, "x" , right parenthesisgx=ddxfx
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Expression 9: "y" minus "f" left parenthesis, "b" , right parenthesis equals "g" left parenthesis, "b" , right parenthesis left parenthesis, "x" minus "b" , right parenthesisy−fb=gbx−b