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 be a robust software 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 got the slope, we are able to use the arctangent operate to seek out the angle that the tangent line makes with the x-axis.
