Sal solves a challenging problem involving slopes of secant lines to a curve.

Find the average rate of change of a function, or the slope of a secant line to the graph of the function.

Learn how to calculate the average rate of change for a function and its connection to the slope of a secant line. Grasp the concept of instantaneous rate of change and its significance in calculus, …

Learn how cosecant, secant, and cotangent are the reciprocals of the basic trig ratios: sine, cosine, and tangent.

Well, in fact, the tangent line is a secant line that passes through 2 extremely close points so that it is technically at 1 point. And if you mean a tangent line touches just 1 point on the curve, it can touch …

This structured practice takes you through three examples of finding the equation of the line tangent to a curve at a specific point.

A curve has the equation y equals the natural log of x, and passes through the points P equals e comma 1. And Q is equal to x natural log of x. Write an expression in x that gives the slope of the secant …

Sal interprets an expression as the slope of a secant line between a specific point on a graph and any other point on that graph.

Analyze derivatives of functions at specific points as the slope of the lines tangent to the functions' graphs at those points.

Trigonometric identities like sin²θ+cos²θ=1 can be used to rewrite expressions in a different, more convenient way. For example, (1-sin²θ)(cos²θ) can be rewritten as (cos²θ)(cos²θ), and then as cos⁴θ.