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Preeti Dabral 3 years ago
An interdisciplinary approach involves drawing appropriately from several disciplines (or separate branches of learning or fields of expertise) to redefine problems outside of normal boundaries and reach solutions based on a new understanding of complex situations.
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Preeti Dabral 3 years ago
We have
f (x) = 2x3 – 6x2 + 6x + 5
or f ′(x) = 6x2 – 12x + 6 = 6 (x – 1)2
Now, f ′(x) = 0
{tex}\Rightarrow{/tex} x = 1
Thus, x = 1 is the only critical point of f . We shall now examine this point for local maxima and/or local minima of f. Observe that f ′(x) {tex}\ge{/tex} 0, for all x {tex}\in{/tex} R and in particular f ′(x) > 0, for values close to 1, to the left and to the right of 1. Therefore, by first derivative test, the point x = 1 is neither a point of local maxima nor a point of local minima. Hence x = 1 is a point of inflexion.
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Kaif Khan 3 years, 2 months ago
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