6
F
(Choose 1 answer)
(See picture)
A. (v)
B. None of the other choices is correct
C. (i)
D. (iii)
E. (iv)
F. (ii)
Find the derivative of the function g(x)=\int_{0}^{x^{2}}\sqrt{1+e^{2t}}dt
(i) 2\sqrt{1+e^{2x^{2}}}
(ii) \sqrt{1+e^{2x^{2}}}
(iii) x\sqrt{1+e^{2x^{2}}}
(iv) 2x\sqrt{1+e^{2x^{2}}}
(v) \sqrt{1+2xe^{2x^{2}}}