We can calculate the gradient of a tangent to a curve by differentiating ... to find the y-coordinate Substitute your point on the line and the gradient into \(y - b = m(x - a)\) Find the equation ...

As the tangent is a straight line, the equation of the tangent will ... First, find \(m\), the gradient of the tangent. On a diagram, draw the circle and the tangent at the point P (3, -4) and ...

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 ...