$\"\"$

\

(a)

\

The function is $\"\"$ .

\

Apply derivative on each side with respect to $\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

To find the slope $\"\"$ of the tangent line at $\"\"$ , evaluate $\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

The slope of the tangent line of function $\"\"$ is $\"\"$ .

\

Number of complete cycles in the interval $\"\"$ is $\"\"$ .

\

$\"\"$

\

(b)

\

The function is $\"\"$ .

\

Apply derivative on each side with respect to $\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

To find the slope $\"\"$ of the tangent line at $\"\"$ , evaluate $\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

The slope of the tangent line of function $\"\"$ is $\"\"$ .

\

Number of complete cycles in the interval $\"\"$ is $\"\"$ .

\

The slope of the tangent line of $\"\"$ at the origin is $\"\"$ .

\

$\"\"$

\

(a) The slope of the tangent line of function $\"\"$ is $\"\"$ .

\

(b) The slope of the tangent line of function $\"\"$ is $\"\"$ .

\

The slope of the tangent line of $\"\"$ at the origin is $\"\"$ .