To construct the tangent to a curve at a certain point A, you draw a line that follows the general ... to remember that all lines and curves that slope upwards have a positive gradient.

We can calculate the gradient of a tangent to a curve by ... into the original equation of the curve to find the y-coordinate Substitute your point on the line and the gradient into \(y - b ...

Find \(\ds \lim_{h\to 0}\frac{f(1+h)-f(1)}{h}\) where \(\ds f(x)=\frac{3x+1}{x-2}\text{.}\) What does the result in (a) tell you about the tangent line to the graph ...