#Mark the correct alternative in each of the following
The minimum value of
is
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Differentiating f(x) with respect to x, we get
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Differentiating f’(x) with respect to x, we get
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for minima at x=c, f’(c)=0 and f’’(c)>0
f’(x)=0 ⇒ x3=125 or x=5
f’’(5)=7>0
Hence, x=5 is a point of minima for f(x) and f(5)=75 is the minimum value of (x).