Use the first and second derivatives of
f(x)=3x4+4x3-96x2-192x+284 to give
as much information about the graph...
Use the first and second derivatives of
f(x)=3x4+4x3-96x2-192x+284 to give
as much information about the graph of the function as possible.
Use this information to sketch the graph.
Suppose the first and second derivatives of f(x) are: f' (x) =
4x(x^2 − 9) f''(x) = 12(x^2 − 3).
(a) On what interval(s) is f(x) increasing and decreasing?
(b) On what interval(s) is f(x) concave up and concave down?
(c) Where does f(x) have relative maxima? Minima? Inflection
points?
Let ?(?) = (x+2)/(x^(2)+2x-8) . Use the first and second
derivatives to graph the function.
Classify critical points as relative minima, relative maxima,
point(s) of inflection, or neither. Find any vertical or horizontal
asymptotes. Must use calculus.
Let ?(?) = (x+2)/(x^(2)+2x-8) . Use the first and second
derivatives to graph the function. Classify critical points as
relative minima, relative maxima, point(s) of inflection, or
neither. Find any vertical or horizontal asymptotes. Must use
calculus.
Let f(x) = ln(x^2 + 9) Find the first two derivatives of f .
Find the critical numbers of f . Find the intervals where f is
increasing and decreasing. Determine if the critical numbers of f
correspond with local maximums or local minimums. Find the
intervals where f is concave up and concave down. Find any
inflection points of f
Use finite approximation to estimate the area under the graph
f(x)= 8x2 and above graph f(x) = 0 from X0 =
0 to Xn = 16 using
i) lower sum with two rectangles of equal width
ii) lower sum with four rectangles of equal width
iii) upper sum with two rectangles of equal width
iv) upper sum with four rectangle of equal width
For the following exercises, use the information about the graph of a polynomial function to determine the function. Assume the leading coefficient is 1 or −1. There may be more than one correct answer.The y-intercept is (0, 9). The x-intercepts are (−3, 0), (3, 0). Degree is 2. End behavior: as x → −∞, f(x) → −∞, as x → ∞, f(x) → −∞.
For the following exercises, use the information about the graph of a polynomial function to determine the function. Assume the leading coefficient is 1 or −1. There may be more than one correct answer.The y-intercept is (0, −4). The x-intercepts are (−2, 0), (2, 0). Degree is 2. End behavior: as x → −∞, f(x) → ∞, as x → ∞, f(x) → ∞.