For the displacement

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

Problem

For the displacement s(t)=1+4t3 ms(t)=\sqrt{1+4t^{3}}\,\text{m}, the velocity v(t)v(t) equals (a) 12t21+4t3\dfrac{12t^{2}}{\sqrt{1+4t^{3}}} (b) 6t21+4t36t^{2}\sqrt{1+4t^{3}} (c) 6t21+4t3\dfrac{6t^{2}}{\sqrt{1+4t^{3}}} (d) 6t2(1+4t3)3/2\dfrac{6t^{2}}{(1+4t^{3})^{3/2}}

Related theory

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