L'hospital limit

[drowsy echo]

cos(2x)sin(6x)/sin(2x)
derivative:
(-2sin(2x)sin(6x)+6cos(2x)cos(6x))/(2cos(2x) = 6/2 = 3

using identities isn't necessary if you are permitted to use L'hopital

all you need is the chain and product rule

[unkempt belfry]

how tf did you get cosine on the denominator

[drowsy echo]

that's... the derivative of sine

[unkempt belfry]

the quotient rule tells me the denominator is the denominator squared?

[drowsy echo]

that's not what L'hopital does

[unkempt belfry]

true

I feel dumb

ty

[drowsy echo]

L'hopital is individually taking the derivative of top and bottom