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". "/> Consider f, g E T°(R") and 0 > 0. Show the following results on the...

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". "/>
Extracted 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".