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

Expert Solution

milcah answered 2 years ago

(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)...

1) Find the intervals of increasing and decreasing for f(x) = 2x3 – 4x2. 2) Find...

1) Find the intervals of increasing and decreasing for f(x) = 2x3 – 4x2. 2) Find the local minimum and maximum points, if any, of f(x) = 2x3 – 15x2 + 36x – 14. 3) Find the inflection points, if any, of f(x) = 2x3 – 15x2 + 36x – 14. Give the intervals of concavity upward and downward for f(x). 4) Find the absolute maximum and minimum of f(x)= 2x3 – 15x2 + 36x – 14 on the interval...

f(x)= x^3+9x^2-6x+1997 a)find the taylor series for f(x) centered at x=1 b) using desmos, graph you...

f(x)= x^3+9x^2-6x+1997 a)find the taylor series for f(x) centered at x=1 b) using desmos, graph you taylor series for f(x) centered at x=1

1-Find the relative maximum and minimum for the function, 1/3*x^3-9x+2 2-Determine the intervals on which the...

1-Find the relative maximum and minimum for the function, 1/3*x^3-9x+2 2-Determine the intervals on which the function f(x)=1+2x+8/x 3- Identify the critical number of f(x)=x^2-5x+6 on interval [-2,2] 4- Identify the intervals where the function, f(x)=2x^3-24x+2 5- ln(sin^2x) find f'(x)

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)?

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.)

For the function a) f(x)=x^3-9x^2+23x-15 b)f(x)=(x+3)^2(2x+1)(x-1) c)f(x)=-(x^2-6x+9)(x^2-x-6) Find: 1) the zeros 2) the y-intercept 3) left-right...

For the function a) f(x)=x^3-9x^2+23x-15 b)f(x)=(x+3)^2(2x+1)(x-1) c)f(x)=-(x^2-6x+9)(x^2-x-6) Find: 1) the zeros 2) the y-intercept 3) left-right end behavior 4) the sketch of the graph

Suppose f ' (x) = x2 - 8x + 15 = (x - 3) (x - 5) (a) Identify the intervals of x-values on which f is increasing and the intervals on which f is decreasing.

Suppose f ' (x) = x2 - 8x + 15 = (x - 3) (x - 5)(a) Identify the intervals of x-values on which f is increasing and the intervals on which f is decreasing.(b) Locate where the local maximum point and the local minimum point occur.(c) Identify the intervals of x-values on which f is concave up and the intervals on which f is concave down.(d) Locate any points of inflection.

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:

Find all x values for which the function y = x^3 + 6x^2 + 3x +...

Find all x values for which the function y = x^3 + 6x^2 + 3x + 7 has a horizontal tangent line. Find the derivative of f(x) using the definition for a limit.

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