# Math Help - Denumerable Proof

1. ## Denumerable Proof

Let G={g:g is differentiable.} Prove or disprove : G is denumerable.

This is what my thought process is so far

G= { sinx, cos x, 3x^3, x^4....}

then what

2. Originally Posted by maurisa
Let G={g:g is differentiable.} Prove or disprove : G is denumerable.
If $b>0$ then is $b^x$ a differentiable function?