Homework SourseFind the equation of the tangent line to the curve y4xcosx a
Find the equation of the tangent line to the curve y=4xcosx at the point (pi, -4pi).
The equation of this tangent line can be written in the form y=mx+b where
m=?
and
b=?
The equation of this tangent line can be written in the form y=mx+b where
m=?
and
b=?
Solution
y\' = -4xsinx + 4cosx
y\' at x= is -4 = m
(x-)(-4)= y+4
-4x + 4^2 = y+4
y = -4x + 4(-1)
m = -4
b = 4(-1)
