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29 votes
Find the domain over which the function y = x^2 +6x is mono tonic increasing. Please help

User Mindaugas Li
by
2.9k points

1 Answer

24 votes
24 votes

Answer:

x > -3

Explanation:

The function will be increasing where its derivative is positive.

__

y = x^2 +6x . . . . . given function

y' = 2x +6 . . . . . . . derivative

The derivative is positive for ...

2x +6 > 0

2x > -6

x > -3 . . . . . domain where the function is increasing

User CH Liu
by
2.9k points