Given the function f(x)= x^4 - 4x^3, (a) find the domain of function f and x-intercepts, y-intercepts. (B) Find all critical numbers of f and show where f Is increasing or decreasing (c) Find all possible inflection number (if any) and show where the graph is concave up or concave down (d) Classify all points at critical numbers as local maximum points, local minimum points, or neither.
Given the function f(x)= x^4 - 4x^3, (a) find the domain of function f and x-intercepts, y-intercepts. (B) Find all critical numbers of f and show where f Is increasing or decreasing (c) Find all possible inflection number (if any) and show where the graph is concave up or concave down (d) Classify all points at critical numbers as local maximum points, local minimum points, or neither.
Given the function f(x)= x^4 - 4x^3, (a) find the domain of function f and x-intercepts, y-intercepts. (B) Find all critical numbers of f and show where f Is increasing or decreasing (c) Find all possible inflection number (if any) and show where the graph is concave up or concave down (d) Classify all points at critical numbers as local maximum points, local minimum points, or neither.
(a) find the domain of function f and x-intercepts, y-intercepts.
(B) Find all critical numbers of f and show where f Is increasing or decreasing
(c) Find all possible inflection number (if any) and show where the graph is concave up or concave down
(d) Classify all points at critical numbers as local maximum points, local minimum points, or neither.
Formula Formula A function f ( x ) is also said to have attained a local minimum 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 a case f ( a ) is called the local minimum value of f ( x ) at x = a .
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