Please, don't assume that we've been taught this stuff because we were literally just handed a packet and told to learn it ourselves. I don't understand this in the slightest.
The question is: Use the information to evaluate and compare delta y and dy. y=2-x^4, x=2 and delta x = dy= 0.01
What I've done so far is differentiate, to get that dy=-4x^3. In the packet, it looks like they plugged 2 in for x and multiplied by dx, so I did, and I got -.32
For delta y, I set up the equation like f(2+0.01) - f(2), and I got -.3224
Are these right? Is there some way that I'm supposed to compare them using words? If I don't even understand what I'm doing, then how am I supposed to do so?
2 answers
Hold on; I think I did delta y wrong. If you set it up like that, then you would get 2-(4.01)^4 -2+2^4. And you get a ridiculous number...?
Wait, never mind. I'm overthinking it and I made a dumb mistake. Disregard these two answers.