The derivative of [g(x)]^2 is equal to [g'(x)']^2. true or false?

Given that the derivative of the function g(x)^2 is
g'(x)'^2

We need to determine if the statemtn if true or
false.

Let us determine the derivative of
[g(x)]^2

We know
that:

[g(x)]^2 = g(x) *
g(x)

Then we will use the product rule to find the
derivative.

Then, we know
that:

==>{ [g(x)]2}' = g'(x) * g(x) + g(x) *
g'(x)

=
2g(x)*g'(x)

==> The derivative of
g(x)]^2  = 2g(x)*g'(x)

Then
the statement is false.