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Find an equation of the tangent line to the curve at the given point.$ y = x + \frac{2}{x} , (2,3) $

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01:19

Frank Lin

Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 1

Derivatives of Polynomials and Exponential Functions

Derivatives

Differentiation

Campbell University

Oregon State University

Idaho State University

Boston College

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.

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he has Claire's suing you. Read here. So we're first gonna find our slope, That is. Do you? Why? Over DX for access equal to a This is equal to when we plug it in X plus two x to the negative one. Power for access equal to two. And this gives 1/2 the line equation is why minus three is equal to one Have X minus two. So we have why is equal to one have X plus two.

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