Figuring out the angle at which a tangent line is pointing is a basic idea in calculus. It offers us beneficial details about the speed of change of a perform at a selected level. The tangent line approximation can be a strong instrument for visualizing the conduct of a perform close to a given level.
To find out the angle of a tangent line, we have to calculate its slope. The slope of a tangent line is the same as the by-product of the perform on the level of tangency. As soon as now we have the slope, we are able to use the arctangent perform to seek out the angle that the tangent line makes with the x-axis.
