I am stuck on the problem :
Find the Critical Numbers of F(x)= 2^(2x-5)-2^(x+1)
I differentiated and got to :
F'(x)=(ln(2)*4^x)/(16)-2ln(2)*2^x
I am not sure what to do next?
A number $\displaystyle a$ in the domain of a given function $\displaystyle f$ is called a critical number of $\displaystyle f$ if $\displaystyle f '(a) = 0$ or $\displaystyle f'$ is undefined at $\displaystyle x = a$.
so, solve for $\displaystyle f'(x)=0$.
By the way, is your differentiation complete? Your answer doesn't seem correct