(a) Find the intervals where f(x) is increasing and decreasing. Hence, find the local maxima and minima of f(x) (b) Find the inflection points for f(x) and the regions for which it is concave up or down.
(a) Find the intervals where f(x) is increasing and decreasing. Hence, find the local maxima and minima of f(x) (b) Find the inflection points for f(x) and the regions for which it is concave up or down.
(a) Find the intervals where f(x) is increasing and decreasing. Hence, find the local maxima and minima of f(x) (b) Find the inflection points for f(x) and the regions for which it is concave up or down.
(a) Find the intervals where f(x) is increasing and decreasing. Hence, find the local maxima and minima of f(x)
(b) Find the inflection points for f(x) and the regions for which it is concave up or down.
(c) Sketch the graph of f(x) for 0 ≤ x ≤ 3 with the maxima, minima and inflection points marked.
Formula Formula A function f(x) attains a local maximum at x=a , if there exists a neighborhood (a−δ,a+δ) of a such that, f(x)<f(a), ∀ x∈(a−δ,a+δ),x≠a f(x)−f(a)<0, ∀ x∈(a−δ,a+δ),x≠a In such case, f(a) attains a local maximum value f(x) at x=a .
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