Question: In Desmos, graph the derivative function y = ( x 2 + 1 ) 2 2 ( 1 x 2 ) . Then graph its

  • In Desmos, graph the derivative function y=(x2+1)22(1x2). Then graph its antiderivative,y=x2+1(x+1)2+C, so that the maximum value of the function is twice as great as the maximum value of y=x2+12x+1.
  • Using the graph of the antiderivative function, estimate the y-intercept and the end value of the function (asx+ ).
  • Interpret the y-intercept and the end behavior of the antiderivative function the the context of y=x2+1(x+1)2.

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