a) Ifh=2f3gis differentiable atx=a, andg is differentiable atx=a, thenf^2is differentiable atx=a.

b)Ifh=fgis differentiable atx=a, andgis differentiable atx=a, thenfis differentiable atx=a.

c)Suppose thatf is continuous on(0,1). Iff(0)=1andf(1)=0, then there existsc(0,1)so thatf(c)=1/2.

d)Suppose thatg:ABandf:BC. Iffg is surjective, then bothf andg must be surjective.

(Note: "surjective" and "onto" mean the same thing.)