- #1

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- TL;DR Summary
- Linear transformations prove including trig functions

Let A={ex,sin(x),excos(x),sin(x),cos(x)} and let V be the subspace of C(R) equal to span(A).

Define

T:V→V,f↦df/dx.

How do I prove that T is a linear transformation?

(I can do this with numbers but the trig is throwing me).

Define

T:V→V,f↦df/dx.

How do I prove that T is a linear transformation?

(I can do this with numbers but the trig is throwing me).