11.3 Derivatives, Differentials, and Tangent Planes 1.

(a) D(f + g)

(a) = 4 and D(3f - 2g)

(a) = 2.

(b) D(f+g)(a)=[3 -3] and D(3f-2g)(a)=[-1 1].

(c) D(f + g)

(a) = [0 11" ] and D(3f - 2g)

(a) = [511" 311"].

(d) [2 1 0] D(f + g)

(a) = 3 -2 1 and D(3f - 2g)

(a) = [_11 -; -;].

(e) D(f + 9)(&) ~ [}, : 1 and D(3f - 29)(&) ~ [-} ~~].