Question

find the equation of the line tangent to y=arctanx at x=1

Answer 1

y=arctanx at x=1
y '= 1/(1+x^2)
y '(1)=1/2=0.5 at x=1,y=pi/4
y-y1=m(x-x1)
y-pi/4=0.5x-0.5
y=0.5x-0.5+pi/4

Answer 2

A solution plot is attached. To eliminate the fractions, the line is labeled in Standard Form.