Question 1) For the function f(x) = x^4 — 4x^3 determine: 1-The critical values. 2-The critical points. 3-The interval of increasing and decreasing of f. 4-The inflection values. 5-The interval of concave down and concave up of f.

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A: Critical number

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Q: 6. Find all critical numbers and use the Second Derivative Test to determine all local extrema. a)…

A: for part a see 2nd step. for part b see 3rd step.

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A: NOTE: Refresh your page if you can't see any equations. . take derivative factor out

Q: f(x) = lim (6x + 2 4x + 3) = 6x + 3 Ax-->0 f (x) = lim (6x + 2 4x + 2) = 6x + 2 %3D 4r-->0 f (x) =…

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A: Given  fx=5x6-14x4 f'x=30x5-56x3 Let f'x=0      30x5-56x3=02x315x2-28=02x3=0    or     15x2-28=0   x…

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