D dx [ e^x ]=

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

Problem

ddx[log⁡sin⁡ex]=\frac{d}{dx}\left[\log\sqrt{\sin\sqrt{e^x}}\right]= (a) 14ex/2cot⁡(ex/2)\frac{1}{4}e^{x/2}\cot\left(e^{x/2}\right) (b) ex/2cot⁡(ex/2)e^{x/2}\cot\left(e^{x/2}\right) (c) 14excot⁡(ex)\frac{1}{4}e^x\cot\left(e^x\right) (d) 12ex/2cot⁡(ex/2)\frac{1}{2}e^{x/2}\cot\left(e^{x/2}\right)

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