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Second Derivative of Parametric Equations

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A curve is defined by parametric equations such that dxdt=4\displaystyle\frac{dx}{dt} = 4 and dydt=ln⁡(t)\displaystyle\frac{dy}{dt} = \ln(t). What is d2ydx2\displaystyle\frac{d^2y}{dx^2}?

A

1t\displaystyle\frac{1}{t}

B

−116t2\displaystyle\frac{-1}{16t^2}

C

14t\displaystyle\frac{1}{4t}

D

116t\displaystyle\frac{1}{16t}

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