# Denumerable Proof

• May 18th 2009, 12:32 PM
maurisa
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
• May 18th 2009, 12:56 PM
Plato
Quote:

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?