Would anyone be able to show me how to go about obtaining the average of all values of x where the tangent line is horizontal? The first part (a) of the question asked me to find an equation for the tangent line to the graph of f at x=1. I determined that y=-2/81 and the slope to be -34/243. My equation turned out to be y=-34/243x + 40/243. As far as part b goes, I have no clue what to do. Any help would be greatly appreciated. I tried including a picture of what I've done so far (hope you can see it). Thanks! Ana
f(x) = 2x/(2-5x)4
x=1 (this is the given information)
B) Find the average of all values of where the tangent line is horizontal. If there are no such values, enter -1000.