Sketch the graph of the given function by determining the appropriate information and points from the first and second derivatives.

y=x315x2+75x+6

What are the coordinates of the relativemaxima?

Select the correct choice belowand, ifnecessary, fill in the answer box to complete your choice.

A.

nothing

(Simplify your answer. Type an ordered pair. Use integers or fractions for any numbers in the expression. Use a comma to separate answers asneeded.)

B.

There is no maximum.

What are the coordinates of the relativeminima?

Select the correct choice belowand, ifnecessary, fill in the answer box to complete your choice.

A.

nothing

(Simplify your answer. Type an ordered pair. Use integers or fractions for any numbers in the expression. Use a comma to separate answers asneeded.)

B.

There is no minimum.

What are the coordinates of the points ofinflection?