Question

what is the derivative of tan^3(x)

Answer 1

looks like power, chain, trig to me

Answer 2

well make a little substitution

u = tan (x)

then

y = u^3

find dy/du and du/dx

then dy/dx = dy/du * du/dx

Answer 3

im still lost

Answer 4

im assuming you have a rudimentary knowledge of a derivative. it might be easier to view this as:
\[[trig(x)]^n\]

power rule it
\[n~[trig(x)]^{n-1}\]
but a chain pops out a derivative of the insides
\[n~[trig(x)]^{n-1}~~[trig(x)]'\]
so it amounts to determining the derivative of a trig now