For various values of a, calculate the derivative of

y = ax

at x = 0 and draw the corresponding tangent line.

Use the following LiveMath notebook to solve this problem. It is possible for you to change the value of a. View an animation to see how this can be done.

Try to find the value for a for which the slope at x = 0 is 1. The last equation for y' is the equation of the tangent line at x = 0.