$\"\"$

\

The function is $\"\"$ .

\

Apply derivative with respect to $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

The function is $\"\"$ .

\

The $\"\"$ function is not defined for the odd multiples of $\"\"$ .

\

The Domain of the function is $\"\"$ .

\

Hence the one of the largest interval is $\"\"$ .

\

$\"\"$

\

Write the derivative as a function of $\"\"$ .

\

$\"\"$ .

\

$\"\"$ .

\

Trigonometric identities : $\"\"$ .

\

Substitiute $\"\"$ in the function $\"\"$ .

\

$\"\"$ .

\

$\"\"$

\

Substitute $\"\"$ in the function $\"\"$ .

\

$\"\"$ .

\

$\"\"$

\

The derivative of $\"\"$ is $\"\"$ .

\

The one of the largest interval is $\"\"$ .

\

The derivative of $\"\"$ in terms of $\"\"$ is $\"\"$ .