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Find the derivative. Simplify where possible.$ g(t) = t \coth \sqrt {t^2 + 1} $

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Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 11

Hyperbolic Functions

Derivatives

Differentiation

Missouri State University

Baylor University

University of Nottingham

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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Okay. We know that G Prime of tea. Using the product rule would be one times coach tangent h squared of t squared, plus one with tee times. This is a prevalent to co tangent H squirt of cheese squared, plus Juan minus t squared. Chris Eakin. Age squirt of cheese squared plus one over the squirt of t squared, plus one.

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