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Use implicit differentiation to find an equation of the tangent line to the curve at the given point.$ y \sin 2x = x \cos 2y, (\pi /2, \pi /4) $

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$$y-\frac{\pi}{4}=\frac{1}{2}\left(x-\frac{\pi}{2}\right), \text { or } y=\frac{1}{2} x$$

01:42

Frank Lin

Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 5

Implicit Differentiation

Derivatives

Differentiation

Maya R.

October 6, 2021

Do not understand how you apply the algebra, also can you write more clearly? Remember that we the students that use this side are novice, we are just trying to developed the skill, its like you're explaining for yourself, not for others. Thank you.

Harvey Mudd College

Baylor 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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