Given f(x) = x^4 - 4x^3 1) find the intervals on which f is increasing or...

Given f(x) = x^4 - 4x^3

1) find the intervals on which f is increasing or decreasing.
2) find the local maximum and minimum values of f.
3) find the intervals of concavity and the inflection points

Expert Solution

milcah answered 2 years ago

a) Let f(x) = −x^4 − 4x^3 . (i) Find the intervals of increase/decrease of f....

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Let f(x) = −x^4 − 4x^3. (i) Find the intervals of increase/decrease of f. (ii) Find...

Let f(x) = −x^4 − 4x^3. (i) Find the intervals of increase/decrease of f. (ii) Find the local extrema of f (values and locations). (iii) Determine the intervals of concavity. (iv) Find the location of the inflection points of f. (v) Sketch the graph of f. (You can choose your own scale for the graph)

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A. In the following parts, consider the function f(x) =1/3x^3+3/2x^2−4x+ 7 (a)Find the intervals on which f is increasing/decreasing and identify any local extrema. (b) Find the intervals on which f is concave up/down and find any inflection points. B. Consider the function f(x) = sin(x) + cos(x). Find the absolute minimum and absolute maximum on the interval [−π,π].

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