Figuring out the angle at which a tangent line is pointing is a basic idea in calculus. It provides us beneficial details about the speed of change of a perform at a selected level. The tangent line approximation can be a robust device 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 we have now the slope, we are able to use the arctangent perform to search out the angle that the tangent line makes with the x-axis.
