Question

How to find the derivative of 1 - (1/x) using power rule

Answer 1

this is 0 - -1x^-2
= 1/x^2

Answer 2

i'm assuming the power rule is
d(ax^n) dx = anx^(n-1)

Answer 3

oh ok, thanks

Answer 4

yw

Answer 5

derivative of
\[y=\frac{1}{x}\] is
\[y'=-\frac{1}{x^2}\]easier just to remember than use the power rule

Answer 6

yea i thought u just leave the 1 as 1
cuz for like 3x^2
u leave the 3 as 3... so i got confused about it :(

Answer 7

ah that is the difference between a coefficient and a constant. or the difference between additon and multiplication. think of it this way, y = 1 is a line with slope 0, so the constant contributes nothing to the derivative

Answer 8

so when there is an addition or subtraction, say 3 - 2x^2
the 3 is not a constant anymore , and have to take the derivative of that right?
so it will be 0 - 4x = -4x
and the -2 is the constant

Answer 9

when you take the derivative of the number with no variable attached, you get zero

Answer 10

so yes, you would get
\[-4x\]

Answer 11

oh ok this is clear
thank you satellite :)