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 ...

To find the tangent line to a curve at a point P we first pick another point on the curve a little bit away from P. Call this point Q.

2. Consider a tangent of the curve \ (y=17-2x^2\) that goes through the point \ ( (3,1)\text {.}\) Provide a diagram of this situation. Can you draw two tangent lines? Find the slopes of those tangent ...

The tangent is perpendicular to the radius which joins the centre of the circle to the point P. As the tangent is a straight line, the equation of the tangent will be of the form y = m x + c.