question archive a) If h=2f−3g is differentiable at x=a, and g is differentiable at x=a, then f^2 is differentiable at x=a
a) If h=2f−3g is differentiable at x=a, and g is differentiable at x=a, then f^2 is differentiable at x=a
Subject:MathPrice: Bought3
a) If h=2f−3g is differentiable at x=a, and g is differentiable at x=a, then f^2 is differentiable at x=a.
b)If h=f⋅g is differentiable at x=a, and g is differentiable at x=a, then f is differentiable at x=a.
c)Suppose that f is continuous on (0,1). If f(0)=1 and f(1)=0, then there exists c∈(0,1) so that f(c)=1/2.
d)Suppose that g:A→B and f:B→C. If f?g is surjective, then both f and g must be surjective.
(Note: "surjective" and "onto" mean the same thing.)
