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 upward.
Answer (in interval notation):

6. Find the interval(s) on which f is concave downward.
Answer (in interval notation):

Expert Solution

milcah answered 2 years ago

Given f(x) = x^4 - 4x^3 1) find the intervals on which f is increasing or...

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Let f(x) = 2x3 - 15x2 + 24x - 5. Find the following: a) The domain...

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Given f''(x)= 4x-6 and f'(-2)=5 and f(-2)=1 FIND: Find f'(x)= and find f(2)=

Factor the following: a) f(x)=x^5+5x^4-21x^3-137x^2-88x+240, knowing that f(5)=0 and f(-3)=0. b) f(x)=x^3+8x^2+5x-50 c)f(x)=-x^4-4x^3+19x^2+46x-120, knowing that (x+5)...

Factor the following: a) f(x)=x^5+5x^4-21x^3-137x^2-88x+240, knowing that f(5)=0 and f(-3)=0. b) f(x)=x^3+8x^2+5x-50 c)f(x)=-x^4-4x^3+19x^2+46x-120, knowing that (x+5) and (x-2) are factors.

a) Let f(x) = −x^4 − 4x^3 . (i) Find the intervals of increase/decrease of f....

a) Let f(x) = −x^4 − 4x^3 . (i) Find the intervals of increase/decrease of f. (ii) Find the local extrema of f (values and locations). (iii) Determine the intervals of concavity. (iv) Find the location of the inflection points of f. (v) Sketch the graph of f. (You can choose your own scale for the graph) b) A farmer wants to fence in an area of 6 km2 in a rectangular field and then divide it in half with...

Let f(x) = −x^4 − 4x^3. (i) Find the intervals of increase/decrease of f. (ii) Find...

Let f(x) = −x^4 − 4x^3. (i) Find the intervals of increase/decrease of f. (ii) Find the local extrema of f (values and locations). (iii) Determine the intervals of concavity. (iv) Find the location of the inflection points of f. (v) Sketch the graph of f. (You can choose your own scale for the graph)

Let f(x) = x^4 - 4x^3 - 18 x^2 + 77 a) a) Find all critical values of the...

Let f(x) = x^4 - 4x^3 - 18 x^2 + 77 a) a) Find all critical values of the function. [10] b) b) Find all intervals of increase and decrease. [10] c) Find all relative extrema. Use the second derivative test. Label each as a relative max. or a relative min. [10] d) d) Find on what interval(s) the function is concave up and concave down. [10] e) e) Find all inflection point(s), if any, of the function. [10]

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:

A. In the following parts, consider the function f(x) =1/3x^3+3/2x^2−4x+ 7 (a)Find the intervals on which...

A. In the following parts, consider the function f(x) =1/3x^3+3/2x^2−4x+ 7 (a)Find the intervals on which f is increasing/decreasing and identify any local extrema. (b) Find the intervals on which f is concave up/down and find any inflection points. B. Consider the function f(x) = sin(x) + cos(x). Find the absolute minimum and absolute maximum on the interval [−π,π].

Let f(x) = 5x^(1/3) - x^(5/3) Find the intervals of concavity and the inflections point(s). Graph...

Let f(x) = 5x^(1/3) - x^(5/3) Find the intervals of concavity and the inflections point(s). Graph the function.

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