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## Homework Statement

f(x) = |sinx| for - π ≤ x ≤ π

g(x) = x^2

h(x)= g(f(x))

1. Find domain and range of h(x)

2. Find an equation of the line tangent to the graph of h at the point where x= π/4

## Homework Equations

## The Attempt at a Solution

It think that h(x) is (|sin x|)^2

so, is domain - π ≤ x ≤ π

here is where I am confused:

if d/dx (sin x) = cos x

then

is d/dx (|sin x|)^2 = (|cos x|)^2 ?

thanks in advance for the help.