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