1, Let f(x)=x3/3−0.5x2−6x Find the interval where f(x) is decreasing. Enter your answer for the left...

1, Let

f(x)=x3/3−0.5x2−6x

Find the interval where f(x) is decreasing.

Enter your answer for the left endpoint in the first textbox, and right endpoint in the second textbox:

Expert Solution

milcah answered 2 years ago

find all intervals on which f(x)=x^3+6x^2+9x+1 is decreasing

Let f(x) = x3 − 2x2. Find the point(s) on the graph of f where the...

Let f(x) = x3 − 2x2. Find the point(s) on the graph of f where the tangent line is horizontal. (x, y) = 0 (smaller x-value) (x, y) = (larger x-value) B) A straight line perpendicular to and passing through the point of tangency of the tangent line is called the normal to the curve. Find an equation of the tangent line and the normal to the curve y = x3 - 3x + 1 at the point (3, 19)....

f(x) = 7xex (a) Find the intervals on which f is increasing or decreasing. (Enter your...

f(x) = 7xex (a) Find the intervals on which f is increasing or decreasing. (Enter your answers using interval notation.) (b) Find the local maximum and minimum values of f. (If an answer does not exist, enter DNE.) (c) Find the intervals of concavity and the inflection points. (Enter your answers using interval notation.)

Suppose f(x)= 2x^3- 6x^2 + 1 For what x is f(x) increasing? decreasing? What are the...

Suppose f(x)= 2x^3- 6x^2 + 1 For what x is f(x) increasing? decreasing? What are the local minimum and maximum values of the function f (if any)?

(a) For f(x) = 1 4 x 4 − 6x 2 find the intervals where f(x)...

(a) For f(x) = 1 4 x 4 − 6x 2 find the intervals where f(x) is concave up, and the intervals where f(x) is concave down, and the inflection points of f(x) by the following steps: i. Compute f 0 (x) and f 00(x). ii. Show that f 00(x) is equal to 0 only at x = −2 and x = 2. iii. Observe that f 00(x) is a continuous since it is a polynomial. Conclude that f 00(x)...

Find the absolute maxima and minima for f(x) on the interval [a, b]. f(x) = x3...

Find the absolute maxima and minima for f(x) on the interval [a, b]. f(x) = x3 − 2x2 − 4x + 4, [−1, 3] absolute maximum (x, y) = absolute minimum (x, y) = 2. f(x) on the interval [a, b]. f(x) = x3 − 3x2 − 24x + 8, [−3, 5] absolute minimum (x, y) = absolute maximum (x, y) =

Find the absolute maxima and minima for f(x) on the interval [a, b]. f(x) = x3...

Find the absolute maxima and minima for f(x) on the interval [a, b]. f(x) = x3 − 2x2 − 4x + 4, [−1, 3] absolute maximum (x, y) = absolute minimum (x, y) = 2. f(x) on the interval [a, b]. f(x) = x3 − 3x2 − 24x + 8, [−3, 5] absolute minimum (x, y) = absolute maximum (x, y) =

Let f(x)=4x^3+21x^2−24x+5. Answer the following questions. 1. Find the interval(s) on which f is increasing. Answer...

Let f(x)=4x^3+21x^2−24x+5. Answer the following questions. 1. Find the interval(s) on which f is increasing. Answer (in interval notation): 2. Find the interval(s) on which f is decreasing. Answer (in interval notation): 3. Find the local maxima of f List your answers as points in the form (a,b) Answer (separate by commas): 4. Find the local minima of f List your answers as points in the form (a,b) Answer (separate by commas): 5. Find the interval(s) on which f is concave...

Let f(x) = a(e-2x – e-6x), for x ≥ 0, and f(x)=0 elsewhere. a) Find a...

Let f(x) = a(e-2x – e-6x), for x ≥ 0, and f(x)=0 elsewhere. a) Find a so that f(x) is a probability density function b)What is P(X<=1)

1) Find the exact absolute max and exact min for f(x)=x^3-3x^2-6x+4 on the closed interval [0,3]...

1) Find the exact absolute max and exact min for f(x)=x^3-3x^2-6x+4 on the closed interval [0,3] 2) Let f be continuously differentiable function on the Reals with the following characteristics: - f(x) is increasing from intervals (0,2) and (4,5) and decreasing everywhere else - f(x) > -1 on the interval (1,3) and f(x) < -1 everywhere else Suppose g(x) = 2f(x) + (f(x))^2. On which interval(s) is g(x) increasing?

Question

1, Let f(x)=x3/3−0.5x2−6x Find the interval where f(x) is decreasing. Enter your answer for the left...

Solutions

Expert Solution

Related Solutions

find all intervals on which f(x)=x^3+6x^2+9x+1 is decreasing

Let f(x) = x3 − 2x2. Find the point(s) on the graph of f where the...

f(x) = 7xex (a) Find the intervals on which f is increasing or decreasing. (Enter your...

Suppose f(x)= 2x^3- 6x^2 + 1 For what x is f(x) increasing? decreasing? What are the...

(a) For f(x) = 1 4 x 4 − 6x 2 find the intervals where f(x)...

Find the absolute maxima and minima for f(x) on the interval [a, b]. f(x) = x3...

Find the absolute maxima and minima for f(x) on the interval [a, b]. f(x) = x3...

Let f(x)=4x^3+21x^2−24x+5. Answer the following questions. 1. Find the interval(s) on which f is increasing. Answer...

Let f(x) = a(e-2x – e-6x), for x ≥ 0, and f(x)=0 elsewhere. a) Find a...

1) Find the exact absolute max and exact min for f(x)=x^3-3x^2-6x+4 on the closed interval [0,3]...