so the first thing I'll teach you all is
how to find the derivative since that's
a big part of calculus. so the derivative of Y becomes Y Prime and then over here
you multiply the exponent by the number
in front of X that's 10x and then you
subtract one from the exponent so that's
just one plus you do the same here so
that's three and one minus one is zero.
and anything to the zeroth power becomes
one so that's that. and then the
derivative of a constant becomes zero so
you're left with 10x plus three so
that's literally half a semester of
calculus. the other half is finding the
integral which is also called the
antiderivative. so you have x squared
times 5 or 2 because the derivative of this
becomes 5 X plus 4 X because the
derivative for 4X becomes 4 and instead
of squiggly now you got a solid line. 0
to 2 plug in 2. squared 5 over 2 plus 4
times 2 - plug in 0. 0 plus 0 and you're
left with 20 over 2 plus 8. 18 and that
is basically one year's worth of
calculus.
