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MATHEMATICS · Single correct · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

For x=et+tx=e^{t}+t and y=e−ty=e^{-t}, d2ydx2\dfrac{d^{2}y}{dx^{2}} equals (a) e−t−2(et+1)3\dfrac{e^{-t}-2}{(e^{t}+1)^{3}} (b) 2+et(et+1)3\dfrac{2+e^{t}}{(e^{t}+1)^{3}} (c) 2+e−t(et+1)3\dfrac{2+e^{-t}}{(e^{t}+1)^{3}} (d) 2+e−t(et+1)2\dfrac{2+e^{-t}}{(e^{t}+1)^{2}}

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