Mathematics

Problem

Let

f(x)=(2x-1)(x^{2}+3)\cos x\,e^{x}

. Which of the following is

f'(x)

? a)

2(x^{2}+3)\cos x\,e^{x}+(2x-1)(2x)\cos x\,e^{x}-(2x-1)(x^{2}+3)\sin x\,e^{x}+(2x-1)(x^{2}+3)\,x\cos x\,e^{x}

2(x^{2}+3)\cos x\,e^{x}+(2x-1)(2x)\cos x\,e^{x}-(2x-1)(x^{2}+3)\sin x\,e^{x}

2(x^{2}+3)\cos x\,e^{x}+(2x-1)(2x)\cos x\,e^{x}-(2x-1)(x^{2}+3)\sin x\,e^{x}+(2x-1)(x^{2}+3)\cos x\,e^{x}

2(x^{2}+3)\cos x\,e^{x}+(2x-1)(2x)\cos x\,e^{x}+(2x-1)(x^{2}+3)\sin x\,e^{x}+(2x-1)(x^{2}+3)\cos x\,e^{x}