Find the two critical values of the function f (x) = x2/5 (5 − 2x).

Find the two critical values of the function f (x) = x^2/5 (5 − 2x).

Solutions

Expert Solution

Rhe answer sheet has two pages.it is the first pagesecond /last page

milcah answered 1 year ago

Next > < Previous

Related Solutions

5. Consider the function f(x) = -x^3 + 2x^2 + 2. (a) Find the domain of...

5. Consider the function f(x) = -x^3 + 2x^2 + 2. (a) Find the domain of the function and all its x and y intercepts. (b) Is the function even or odd or neither? (c) Find the critical points, all local extreme values of f, and the intervals on which f is increasing or decreasing. (d) Find the intervals where f is concave up or concave down and all inflection points. (e) Use the information you have found to sketch...

The function f(x, y) = 10−x 2−4y 2+2x has one critical point. Find that critical point...

The function f(x, y) = 10−x 2−4y 2+2x has one critical point. Find that critical point and show that it is not a saddle point. Indicate whether this critical point is a maximum or a minimum, and find that maximum or minimum value.

Consider the root of function f(x) = x 3 − 2x − 5. The function can...

Consider the root of function f(x) = x 3 − 2x − 5. The function can be rearranged in the form x = g(x) in the following three ways: (a) x = g(x) = x3 − x − 5 (b) x = g(x) = (x 3 − 5)/2 (c) x = g(x) = thirdroot(2x + 5) For each form, apply fixed-point method with an initial guess x0 = 0.5 to approximate the root. Use the error tolerance = 10-5 to...

(1 point) Suppose that f(x)=(12−2x)e^x. (A) List all the critical values of f(x). Note: If there...

(1 point) Suppose that f(x)=(12−2x)e^x. (A) List all the critical values of f(x). Note: If there are no critical values, enter 'NONE'. (B) Use interval notation to indicate where f(x) is increasing. Note: Use 'INF' for ∞, '-INF' for −∞, and use 'U' for the union symbol. Increasing: (C) Use interval notation to indicate where f(x) is decreasing. Decreasing: (D) List the x values of all local maxima of f(x). If there are no local maxima, enter 'NONE'. x values...

For the following exercises, use the definition of derivative to calculate the derivative of each function. f(x) = 3x3 − x2 + 2x + 5

For the following exercises, use the definition of derivative to calculate the derivative of each function.f(x) = 3x3 − x2 + 2x + 5

In the function f(x) = 5x4-2x2-27 find the following: a) their critical values b)local maximum and...

In the function f(x) = 5x4-2x2-27 find the following: a) their critical values b)local maximum and minimum points c)The intervals where the concavity is up and down d) draw the graph and mark on it all the important points; maximum, minimum and inflection points

Please find f(x') and f(x") for all: 1) f(x) = 3(x2 -2x)3/4(7 - 5x2)6 2) f(x)...

Please find f(x') and f(x") for all: 1) f(x) = 3(x2 -2x)3/4(7 - 5x2)6 2) f(x) = (y - x)4(y2 - x)3 3) f(x) = x7/3 + 16x3 + x 4) = f(x) = (x2 - x) / (y2 - y)

Find f(x) for the following function. Then find f(6), f(0), and f(-7). f(x)=-2x^2+1x f(x)= f(6)= f(0)=...

Find f(x) for the following function. Then find f(6), f(0), and f(-7). f(x)=-2x^2+1x f(x)= f(6)= f(0)= f(-7)=

Analyze the function given by f(x) = (2x − x^2 )e^x . That is: find all...

Analyze the function given by f(x) = (2x − x^2 )e^x . That is: find all x- and y-intercepts; find and classify all critical points; find all inflection points; determine the concavity; find any horizontal or vertical asymptotes. Finally, use this information to graph the function.

1. Find the critical numbers for the following functions (a) f(x) = 2x 3 − 6x...

1. Find the critical numbers for the following functions (a) f(x) = 2x 3 − 6x (b) f(x) = − cos(x) − 1 2 x, [0, 2π] 2. Use the first derivative test to determine any relative extrema for the given function f(x) = 2x 3 − 24x + 7

Subjects