The function f(x) = −2x³+3x²+36x has two critical points, c₁ and c₂. Find them and use the second derivative test to classify them. f(x) has a local at the smaller critical point c₁ sinc f(x) has a local at the larger critical point c2 f''(c1)>0f" (c1)>0 f''(c1) <0f" (c1) <0 since
The function f(x) = −2x³+3x²+36x has two critical points, c₁ and c₂. Find them and use the second derivative test to classify them. f(x) has a local at the smaller critical point c₁ sinc f(x) has a local at the larger critical point c2 f''(c1)>0f" (c1)>0 f''(c1) <0f" (c1) <0 since
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.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 1CR
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minimum](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F36e9e6bf-5fca-412d-926f-13eedac0d9c5%2F53bc4e77-73e3-4fcc-9798-7587883e4fe1%2Fdxlxwjer_processed.png&w=3840&q=75)
Transcribed Image Text:maximum
minimum
![The function f(x) = −2x³ + 3x² + 36x has two critical points, c₁ and c₂. Find them and use the
second derivative test to classify them.
f(x) has a local
at the smaller critical point c₁
sinc ✔
f''(c1)>0f" (c1) >0
f(x) has a local
at the larger critical point c2
f''(c1) <0f" (c1) <0
since](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F36e9e6bf-5fca-412d-926f-13eedac0d9c5%2F53bc4e77-73e3-4fcc-9798-7587883e4fe1%2Fshdjl6c_processed.png&w=3840&q=75)
Transcribed Image Text:The function f(x) = −2x³ + 3x² + 36x has two critical points, c₁ and c₂. Find them and use the
second derivative test to classify them.
f(x) has a local
at the smaller critical point c₁
sinc ✔
f''(c1)>0f" (c1) >0
f(x) has a local
at the larger critical point c2
f''(c1) <0f" (c1) <0
since
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