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Find the derivative of the function. Simplify where possible.$ y = (tan^{-1} x)^2 $

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00:26

Frank Lin

Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 5

Implicit Differentiation

Derivatives

Differentiation

Missouri State University

University of Nottingham

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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Find the derivative of the…

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In this problem were asked to find derivative of fenton inverse x, we know that this will be done to form 2 times tangent inverse of x times. Derivative of tangent, inverse of x or derivative of tangent inverse of x is 1 over 1 plus x squared. So if we write that we get as 2 times 10 to the universe of x, divided by 1 plus x, squared.

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