Given and , determine…

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

Given r(u)=⟨u2, eu⟩r(u)=\langle u^{2},\,e^{u}\rangle and u=3t−1u=3t-1, determine drdt\dfrac{dr}{dt}. (a) ⟨6t−2, e3t−1⟩\langle6t-2,\,e^{3t-1}\rangle (b) ⟨6t−2, 3e3t−1⟩\langle6t-2,\,3e^{3t-1}\rangle (c) ⟨18t−6, 3e3t−1⟩\langle18t-6,\,3e^{3t-1}\rangle (d) ⟨2t−23, 13e3t−1⟩\langle2t-\dfrac{2}{3},\,\dfrac{1}{3}e^{3t-1}\rangle

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