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\centerline{\bf Math.~125 Quizz \#7}
\centerline{October 27, 1998}
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\noindent
\noindent1. Which function (a) or (b) below is an antiderivative for
$${{1-x^2}\over{(1+x^2)^2}}\ ?$$

\noindent\hbox{(a)\ $\displaystyle{{x}\over{1+x^2}}$\hskip1in(b)
\ $\displaystyle{{1}\over{1+x^2}}$}
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You must give a reason for your answer.
A reason why the other answer is NOT an
antiderivative for the function is acceptable.

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\noindent 2. Find the function $y=f(w)$ such that
$$y^{\prime\prime}=6w\ ;\quad y^\prime(0)=4\ ;\quad
y(1)=5\ .$$

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