Figuring out the angle at which a tangent line is pointing is a elementary idea in calculus. It offers us helpful details about the speed of change of a perform at a particular level. The tangent line approximation can be a strong device for visualizing the habits 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 spinoff of the perform on the level of tangency. As soon as we have now the slope, we will use the arctangent perform to search out the angle that the tangent line makes with the x-axis.
