Expression 3: StartFraction, "f" left parenthesis, "x" plus .0 1 , right parenthesis minus "f" left parenthesis, "x" , right parenthesis Over .0 1 , EndFractionfx+.01−fx.01
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A numerical approximation to the derivative of f is blue
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Expression 5: "g" left parenthesis, "x" , right parenthesis equals exponent left parenthesis, StartFraction, "x" Over 1 plus "x" squared , EndFraction , right parenthesis StartFraction, 1 minus "x" squared Over left parenthesis, 1 plus "x" squared , right parenthesis squared , EndFractiongx=expx1+x21−x21+x22
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Your "guess" for the derivative. Click the disk to plot your guess. The black dots should track the blue curve.