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Find the derivative. Simplify where possible.$ G(t) = \sinh (\ln t) $

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$G^{\prime}(t)=\frac{t^{2}+1}{2 t^{2}}$

Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 11

Hyperbolic Functions

Derivatives

Differentiation

Missouri State University

Harvey Mudd College

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.

00:33

Find the derivative. Simpl…

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01:25

Find the derivative of the…

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given the chain rule in the fact that you is the natural with T Therefore, g of you is sign each of you. We know that g prime of tea is gonna be co sign age The natural order tea dried by t which is gonna give us tea plus one over tea over to tea which gives us t squared plus one over to T squared.

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