題目 Problem Find f′(2)f'(2)f′(2) if f(x)=eg(x)f(x)=e^{g(x)}f(x)=eg(x) and g(x)=∫4x2t1+t3 dt\displaystyle g(x)=\int_4^{x^2}\frac{t}{1+t^3}\,dtg(x)=∫4x21+t3tdt. 解答