The points for which the function \( f(x)=\int_{1}^{x}\left\{2(t-1)(t-2)^{3}+3(t-1)^{2}(t-2)^{2}... VIDEO
The points for which the function \( f(x)=\int_{1}^{x}\left\{2(t-1)(t-2)^{3}+3(t-1)^{2}(t-2)^{2}\right\} d t \) attains maxima and minima, is
(a) maximum when \( x=\frac{7}{5} \) and minimum when \( x=1 \)
(b) maximum when \( x=1 \) and minimum when \( x=0 \)
(c) maximum when \( x=1 \) and minimum when \( x=2 \)
(d) maximum when \( x=1 \) and minimum when \( x=\frac{7}{5} \)
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