One fine day you take a hike up a mountain path.Using your trusty map you have determined that the path is approximately in the shape of the curve $y=3\left(x^{3}-12 x^{2}+48 x+36\right)$ .Here y is the elevation in feet above sea level and x is the horizontal distance in miles you have traveled, but your map only shows the path for 7 miles, horizontal distance.Where on the path is a nice flat place to stop for a picnic?
A)After 2 miles
B)After 3 miles
C)After 4 miles
D)After 5 miles
E)After 6 miles

Question

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The Answer of One fine day you take a hike up a mountain path.Using your trusty map you have determined that the path is approximately in the shape of the curve $y=3\left(x^{3}-12 x^{2}+48 x+36\right)$ .Here y is the elevation in feet above sea level and x is the horizontal distance in miles you have traveled, but your map only shows the path for 7 miles, horizontal distance.Where on the path is a nice flat place to stop for a picnic?
A)After 2 miles
B)After 3 miles
C)After 4 miles
D)After 5 miles
E)After 6 miles

One Fine Day You Take a Hike Up a Mountain y=3(x3−12x2+48x+36)y=3\left(x^{3}-12 x^{2}+48 x+36\right)y=3(x3−12x2+48x+36)

One Fine Day You Take a Hike Up a Mountain $y=3\left(x^{3}-12 x^{2}+48 x+36\right)$