As a tangent is a straight line it is described by an equation in the form \(y - b = m(x - a)\). You need both a point and the gradient to find its equation. You are usually given the point - it's ...

Functions with Corners 2.1 Some examples of graphs with corners which I talked about in lecture. The tangent line to a graph does not exist at a corner. Algebraic Simplification 2.3 When computing the ...

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 ...

you draw a line that follows the general direction of the curve at that point. An example of this can be seen below. Once the tangent is found you can use it to find the gradient of the graph by ...