Once the tangent is found you can use it to find the gradient of the graph by using the following formula: \(\text{Gradient to the curve =}~\frac {y_2-y_1} {x_2-x_1}\) where \(({x_1,~y_1})\) ...

The tangent line to a graph does not exist at a corner ... Type in your polar equation and investigate the graph. Polar Curves and Cartesian Graphs 10.3 An applet showing the connection between the ...

To find an estimate of the speed after 6.5 seconds, draw the tangent to the curve at 6.5. \(\text{Gradient} = \frac{140 - 20}{9 - 4} = \frac{120}{5} = 24 \:\text{m/s}\) A velocity-time graph shows ...