Consider f, g E T° (R") and 0 > 0. Show the following results on the subdifferential. (a) a(0f)(x) = 0ðf(x), Væ € R". (b) af(x)+ Ôg(x) C a(f +g)(x), Væ E R".
Consider f, g E T° (R") and 0 > 0. Show the following results on the subdifferential. (a) a(0f)(x) = 0ðf(x), Væ € R". (b) af(x)+ Ôg(x) C a(f +g)(x), Væ E R".
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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![Consider f, g E T°(R") and 0 > 0. Show the following results on the subdifferential.
(a) a(0f)(x) = 0ðƒ(x), Væ e R".
(b) af(x)+ dg(x) C (f+ g)(x), Væ E R".](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcf1b8e82-f4d5-4041-be0b-95f0505c9ee8%2F9bde471c-e5ac-4139-b24f-ae01333e41d5%2F9pdudjea_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider f, g E T°(R") and 0 > 0. Show the following results on the subdifferential.
(a) a(0f)(x) = 0ðƒ(x), Væ e R".
(b) af(x)+ dg(x) C (f+ g)(x), Væ E R".
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