Figuring out the angle at which a tangent line is pointing is a basic idea in calculus. It provides us helpful details about the speed of change of a operate at a particular level. The tangent line approximation can also be a robust device for visualizing the habits of a operate 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 operate on the level of tangency. As soon as we’ve the slope, we will use the arctangent operate to search out the angle that the tangent line makes with the x-axis.
