Question
For the curve y = x^3 - 27x - 3, show that it is monotonic increasing for all values of x.
Thanks to anyone who helps
Thanks to anyone who helps
Answers
Steve
the slope at any point (x,y) is 3x^2-27
Clearly this is not always positive, namely for |x| < 3
For instance
y(2) = -49
y(3) = -57
go to any online grapher, and you will see this.
In fact, you know that
Clearly this is not always positive, namely for |x| < 3
For instance
y(2) = -49
y(3) = -57
go to any online grapher, and you will see this.
In fact, you know that