X must be in _.
Numerator
#
0
x
#
xy
y#xy-1
_ means do the long way.
Definition
Never _ or _ derivatives.
Multiply, divide
Product rule
Hodhi+hidho
Quotient rule
(Hodhi-hidho)/hoho
Chain Rule (x)^#
y(x)^(y-1)y’
(-)(-)
Product rule first
Outside in
Tip
Take one step at a time
Tip
(d/dx)function0
function’0(0’)
(d/dx)sin0
cos0
(d/dx)cos0
–sin0
(d/dx)tan0
sec0sec0
(d/dx)cot0
–csc0csc0
(d/dx)sec0
tan0sec0
(d/dx)csc0
–cot0csc0
One step to get rid of chain rule
Tip
One step to get rid of function
Tip
Derivative
Slope