$\"\"$

$\"\"$ is slope of trail at a distance of $\"\"$ miles from the start of trail.

Integral is $\"\"$ .

Net change theorem: $\"\"$ .

$\"\"$ .

$\"\"$ represents change in slope from start of trail $\"\"$ to end of the trail $\"\"$ miles.

$\"\"$

$\"\"$ represents change in slope from start of trail $\"\"$ to end of the trail $\"\"$ miles.