(a) Show that (b) Are and the same function Why or why not (c) Find and

Chapter 5, Problem 127

(choose chapter or problem)

(a) Show that \(\left(2^{3}\right)^{2} \neq 2^{\left(3^{2}\right)}\).

(b) Are \(f(x)=\left(x^{x}\right)^{x}\) and \(g(x)=x^{\left(x^{x}\right)}\) the same function? Why or why not?

(c) Find \(f^{\prime}(x)\) and \(g^{\prime}(x)\).

Text Transcription:

(2^3)^2  neq 2^(3^2)

f(x) = (x^x)^x

g(x) = x^(x^x)

f^prime (x)

g^prime (x)