Ah right so 5a^4 is the equation and "minus one from the power, and add(actually multiply) the power to the front" is the derivative. I dunno I won't bug you I imagine it's like someone asking me why 7x7 = 49.
I'll keep watching the videos hopefully pick it up. Better get my head down night
a^5 is the original equation.
"minus one from the power, and add(actually multiply) the original value of power to the front" is the method that turns it into the derivative which equals
5a^4.
Doing it step by, step.
a^5.
Move the five to the front
5a
Then, in your head, take 5 and - 1, which equals 4.
now put that in as the power
5a^4.
Thats the derivative, doing this backwards is the anti-derivative. These are your main weapons in calculus. Taking a anti-derivative of a acceleration equation would turn it into a velocity equation.
My personal favorite, is finding the volume of a 'solid of revolution' which can be done with anti-derivatives(Integration). Simple and requires a bit of imagination to visualize how it works =P
Your biggest hurdle I think would be integration by parts, as that can get messy.
Once you've done that, you can do differential equations, then you can go onto laplace transforms(Fiddly, I know people really good with math that make mistakes doing these) and fourier transforms. If you can do them, then you can probably do electronic engineering math, possibly better than a-level students. Do a-level students do laplace transforms? I don't know. I did a btec in electronic engineering, in which I did all this math but i did cs in uni.
Electronic Engineers in reality, don't actually work out there own laplace transforms, even if they need them in there real work, they use laplace transform tables which have them already pre-worked out for common functions.