Does this function have a tangent line with a slope of 20 anywhere on this interval? Explain. Let \(C\) be the curve \(y=(x-1)^3\) and let \(L\) be the line \(3y+x=0\text{.}\) Find the equation of all ...

To construct the tangent to a curve at a certain point A, you draw a line that follows the general direction of the curve at that point. An example of ... and curves that slope upwards have ...