(a) Find the critical points for f(x)= x²-x⁴
(b) Determine the intervals where f is increasing or decreasing.
(c) Classify each critical point as local maximum local minimum or neither one.
(d) Determine the intervals where f is concave up and where it is concave down.
(e) Determine points of inflection for f.

Question

24-06-2024
Mathematics

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(a) Find the critical points for f(x)= x²-x⁴
(b) Determine the intervals where f is increasing or decreasing.
(c) Classify each critical point as local maximum local minimum or neither one.
(d) Determine the intervals where f is concave up and where it is concave down.
(e) Determine points of inflection for f.

Sagot :

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