Let . Which of the following is equal to…

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

Problem

Let g(x)=ln⁡ ⁣(1+e4x)g(x)=\ln\!\left(\sqrt{1+e^{4x}}\right). Which of the following is equal to g′(x)g'(x)? (a) e4x1+e4x\dfrac{e^{4x}}{1+e^{4x}} (b) 2e4x1+e4x\dfrac{2e^{4x}}{1+e^{4x}} (c) 21+e4x\dfrac{2}{1+e^{4x}} (d) 4e4x1+e4x\dfrac{4e^{4x}}{1+e^{4x}}

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