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Differentiate.

$ y = 2 $ sec $ x - $ csc $ x $

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00:36

Frank Lin

Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 3

Derivatives of Trigonometric Functions

Derivatives

Differentiation

Campbell University

Harvey Mudd College

University of Nottingham

Idaho State University

Lectures

04:40

In mathematics, a derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a moving object with respect to time is the object's velocity. The concept of a derivative developed as a way to measure the steepness of a curve; the concept was ultimately generalized and now "derivative" is often used to refer to the relationship between two variables, independent and dependent, and to various related notions, such as the differential.

44:57

In mathematics, a differentiation rule is a rule for computing the derivative of a function in one variable. Many differentiation rules can be expressed as a product rule.

06:57

Differentiate. y = 2 − sec…

01:01

Differentiate the function…

01:58

00:58

Find the derivative of the…

02:57

Differentiate the given ex…

To enumerate here so we're going to take de over date x of 2 secant x, minus d over dx of co, secant we're going to use trig rules, so secant becomes secant times. Tangent and co. Secant becomes negative, co, secant x times, co tangent of x. So we get 2 secant times tangent, plus co, secant co, tangent.

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