Question
Question: Let f(x) = \(\int_{0}^{x}{t(e^{t}–1)(t–1)^{9}(t + 2)^{3}}\) (t + 4)<sup>4</sup> log (t+ 1) dt, then ...
Let f(x) = ∫0xt(et–1)(t–1)9(t+2)3 (t + 4)4 log (t+ 1) dt, then –
A
f(x) attains local maxima at x = 0 only
B
f(x) attains local minima at x = 0 and – 2
C
f(x) does not have any point of local maxima and minima
D
None of these
Answer
f(x) attains local maxima at x = 0 only
Explanation
Solution
f ' (x)=x (ex – 1) (x – 1)9 (x + 2)3 (x + 4)4 log (x + 1) .1
↓ ↓ ↓ ↓ ↓
0 0 1 –2 0
(Q x = –2 is not possible)
