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.

Expert Solution

milcah answered 1 year ago

Suppose the first and second derivatives of f(x) are: f' (x) = 4x(x^2 − 9) f''(x)...

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...

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...

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.

describe the purpose of finding the first and second derivatives to sketch a graph of functions

Let f(x) = ln(x^2 + 9) Find the first two derivatives of f . Find the...

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)...

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 ...The y-intercept is (0, 1). There is no x-intercept. Degree is 4. End behavior: as x → −∞, f(x) → ∞, as x → ∞, f(x) → ∞.

The y-intercept is (0, 1). There is no x-intercept. Degree is 4. End behavior: as x → −∞, f(x) → ∞, as x → ∞, f(x) → ∞.

For the following exercises, use the information about the graph of a polynomial .. 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, 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 ...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) → ∞.

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) → ∞.

Find the first-order and second-order partial derivatives of the following functions: (x,y) =x2y3

Question

Use the first and second derivatives of f(x)=3x4+4x3-96x2-192x+284 to give as much information about the graph...

Solutions

Expert Solution

Related Solutions

Suppose the first and second derivatives of f(x) are: f' (x) = 4x(x^2 − 9) f''(x)...

Let ?(?) = (x+2)/(x^(2)+2x-8) . Use the first and second derivatives to graph the function. Classify...

Let ?(?) = (x+2)/(x^(2)+2x-8) . Use the first and second derivatives to graph the function. Classify...

describe the purpose of finding the first and second derivatives to sketch a graph of functions

Let f(x) = ln(x^2 + 9) Find the first two derivatives of f . Find the...

Use finite approximation to estimate the area under the graph f(x)= 8x2 and above graph f(x)...

For the following exercises, use the information about the graph of a polynomial function to determine the function. Assume the ...The y-intercept is (0, 1). There is no x-intercept. Degree is 4. End behavior: as x → −∞, f(x) → ∞, as x → ∞, f(x) → ∞.

For the following exercises, use the information about the graph of a polynomial .. 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 ...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) → ∞.

Find the first-order and second-order partial derivatives of the following functions: (x,y) =x2y3