Question

Find the equation of the tangent line to the curve y=6sinx at the point (π/6,3). The equation of this tangent line can be written in the form y = mx+b where m=? and b=?
How do I find m and b?

Answer 1

first find the derivative of the function and plug in x = pi/6 - this will give you the slope m

then you can use the genaral equation of straight line:
y-y1 = m(x-x10 where (x1,y1) = (pi6/3) and rearrange to give the form y = mx+b

Answer 2

* thats y-y1 = m(x-x1)

Answer 3

Thank you very much. I found the answer!

m=6cos(π/6)
b≈0.279300953649