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On the right side of x=0, notice that it's simply the line y=x. It has a constant slope of m=1. So our derivative function should be a constant value. y'=1 for x>0
Which is a horizontal line.
So you're just matching the slopes?
Ya the derivative function gets its value from the slope of the function at every point. If that makes sense :o
Yes, you're matching what the slope is doing, with a new shape.
Okay, so that's why 39 and 42 have the same answer. That makes sense.
42 is not the same! :) close though
I only drew half of the function.
Notice that in 39, the slope stays the same everywhere, it's just a straight line. The slope is constant m=1 everywhere. So the derivative function will be a constant f'=1 everywhere. In 42, we still have to deal with the other side of the V. Notice that it's a different line segment. This line has negative slope, see how it's tilted down?
Oh so it'd be C!
Since x=-1 on one side and x=1 on the other
Ah good! :)
Thank you! This makes more sense now.
I'm still confused why these guys were posting x^2 lol
I dunno. Maybe they were thinking about the type of graph rather than the slope?