(a)

The function is $\"\"$ .

Differentiate on each side with respect to $\"\"$ .

$\"\"$ .

Product rule of derivatives: $\"\"$ .

$\"\"$

Derivative of the sine function: $\"\"$ .

$\"\"$

(b)

Graph of the functions $\"\"$ and $\"\"$ , where $\"\"$ .

$\"\"$

Observe the graph.

The pattern of the slope of the derivative field is followed by the function $\"\"$ .

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

(a) $\"\"$

(b)

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

$\"\"$ .