y= v-2² +2²-2x+ 8 (a) Find y'= f'(x). f'(x)=x²+x-2 (b) Find the critical values. (Enter your answers as a comma-separated list.) x = -2, 1 (c) Find the critical points. 34 (x, y) = (-2, (smaller x-value) 3 (x, y) = (1,4 ) (larger x-value) (d) Find intervals of x-values where the function is increasing. (Enter your answer using interval notation.) (-∞0, - 2) x Find intervals of x-values where the function is decreasing. (Enter your answer using interval notation.) (-2,1) (e) Classify the critical points as relative maxima, relative minima, or horizontal points of inflection. In each case, check your conclusions with a graphing uti 34 relative maxima (x, y) = ( −2, ³3- ) relative minima (x, y) = ( 1, 41 ) horizontal points of inflection (x, y) = 1 109 2¹ 12 × )
y= v-2² +2²-2x+ 8 (a) Find y'= f'(x). f'(x)=x²+x-2 (b) Find the critical values. (Enter your answers as a comma-separated list.) x = -2, 1 (c) Find the critical points. 34 (x, y) = (-2, (smaller x-value) 3 (x, y) = (1,4 ) (larger x-value) (d) Find intervals of x-values where the function is increasing. (Enter your answer using interval notation.) (-∞0, - 2) x Find intervals of x-values where the function is decreasing. (Enter your answer using interval notation.) (-2,1) (e) Classify the critical points as relative maxima, relative minima, or horizontal points of inflection. In each case, check your conclusions with a graphing uti 34 relative maxima (x, y) = ( −2, ³3- ) relative minima (x, y) = ( 1, 41 ) horizontal points of inflection (x, y) = 1 109 2¹ 12 × )
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.3: Maxima And Minima
Problem 19E
Related questions
Question
Need help on d and e
![Consider the following function.
y =
+
- 2x + 8
3 2
(a) Find y' = f'(x).
f'(x) = x² + x - 2
(b) Find the critical values. (Enter your answers as a comma-separated list.)
x = -2, 1
(c) Find the critical points.
-2, 344
(x, y) =
(smaller x-value)
(x, y)
41
6
1,
=
(larger x-value)
(d) Find intervals of x-values where the function is increasing. (Enter your answer using interval notation.)
(-∞, -2) x
Find intervals of x-values where the function is decreasing. (Enter your answer using interval notation.)
(-2,1)
(e) Classify the critical points as relative maxima, relative minima, or horizontal points of inflection. In each case, check your conclusions with a graphing uti
34
relative maxima
(x, y) = (-2, 3
relative minima
(x, y) = (1, 41
6
1 109
horizontal points of inflection (x, y) = (
2' 12
)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa8747d92-b055-4562-9504-cd72cffb1b1f%2Fce5f19b7-168a-4b13-9425-f9cbe26c0ae1%2Fya0dfv_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following function.
y =
+
- 2x + 8
3 2
(a) Find y' = f'(x).
f'(x) = x² + x - 2
(b) Find the critical values. (Enter your answers as a comma-separated list.)
x = -2, 1
(c) Find the critical points.
-2, 344
(x, y) =
(smaller x-value)
(x, y)
41
6
1,
=
(larger x-value)
(d) Find intervals of x-values where the function is increasing. (Enter your answer using interval notation.)
(-∞, -2) x
Find intervals of x-values where the function is decreasing. (Enter your answer using interval notation.)
(-2,1)
(e) Classify the critical points as relative maxima, relative minima, or horizontal points of inflection. In each case, check your conclusions with a graphing uti
34
relative maxima
(x, y) = (-2, 3
relative minima
(x, y) = (1, 41
6
1 109
horizontal points of inflection (x, y) = (
2' 12
)
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