Question

Does anyone know how to do tangent calculation?

Answer 1

Let\[f(x)= \frac{ 9sinx }{ 4sinx+6cosx }\]
Then'f(x)=[(4sinx+6cosx)(9cosx)-(9sinx)(4cosx-6sinx)]/(4sinx+6cosx)^2
The equation of the tangent line to y=f(x) at a=pi/6 can be written in the form y=mx+b where
m=?
b=?