(a) Find the slope of the graph of f (x) = 1 - e^x at the point where it crosses the x-axis.

(b) Find the equation of the tangent line to the curve at this point.

(c) Find the equation of the line perpendicular to the tangent line at this point. (This is the normal line.)

Question

(a)  	Find the slope of the graph of f (x) = 1 - e^x at the point where it crosses the x-axis.
 
(b)  	Find the equation of the tangent line to the curve at this point.
 
(c)  	Find the equation of the line perpendicular to the tangent line at this point. (This is the normal line.)

parthkohli · Answer

(a) Substitute $\rm f(x) = 0$ and solve the equation.
(b) You should know about definition of derivatives.
(c) You should know about lines.