math (1102) - Calc: short differentiation

talked about shortcuts for differentiation today

if f(x) = x^n then f`(x) = nx^(n-1)

chyeah boi.

its all written down in the booklet thingy

usually what we do is when we're asked to differentiate

we write it like this.. say the question was

differentiate x^2

we would write

d/dx (x^2) = 2x^(1)
=2

right?

the x on the d/dx means thats what we're doing it in relation to, if there was a t in the question isntead, the bottom would say t. the top, represents the other thing.. if the question was

y = 5x^4 - 3x

then we would put dy/dx in instead. catch it?

also, any number without the number we're focusing on (next to the d at the bottom) just turns into a 0 when working it out