Find the equation of the tangent line to \(y=f(x)\) at \(x=1\text{.}\) Find the slopes of those tangent lines. Find the equation of those tangent lines. Find the point(s ... function have a tangent ...

the tangent line touches the curve at a single point the tangent line has the same gradient (slope) as the curve at this point Use tangents at different times to determine the rate of reaction at ...