To calculate the area between a curve and the \(x\)-axis we must evaluate using definite integrals. First, we need to find out where the curve cuts the \(x\)-axis. Remember, a curve cuts the \(x ...

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 \(({x_1,~y_1})\) ...