If and , then in terms of…

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

Problem

If

x=e^{2t}

and

y=\ln(1+t)

, then

\dfrac{dy}{dx}

in terms of

t

equals (a)

\dfrac{2e^{2t}}{1+t}

(b)

\dfrac{1}{2e^{t}(1+t)}

(c)

\dfrac{1}{2e^{2t}(1+t)}

(d)

\dfrac{1}{e^{2t}(1+t)}

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