As the tangent is a straight line, the equation of the tangent will be of the form \(y = mx + c\). We can use perpendicular gradients to find the value of \(m\), then use the coordinates of P to find ...

👉 Learn how to find and write the equation of the tangent line of a curve at a given point. The tangent of a curve at a point is a line that touches the circumference of the curve at that point. To ...

👉 Learn how to find and write the equation of the tangent line of a curve at a given point. The tangent of a curve at a point is a line that touches the circumference of the curve at that point. To ...

It is important to remember other angles rules, such as angles on a straight line add up to 180°, and to recognise angles in parallel lines. Make sure you are confident in applying Pythagoras’ theorem ...

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 ...