1.
2.
A) y = e^(-x) @ x = -1
dy/dx = (-1)(1)(e^(-x))
= -e^(-x)
f'(-1) = -0.368
f(-1) = 0.368
y =mx+b
0.368 = (-0.38)(-1) + b
0=b
y=-0.368x
B) y = 2 - e^(-x) @ x=1
dy/dx = 0 +(-1)(-e^(-x))
= e^(-x)
f'(1) = -0.368
f(1) = 1.632
y=mx+b
1.632 = (-0.38)(1)+b
2 = b
y= -0.368x + 2
Is this correct? I feel funny about it.