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Find the derivative. Simplify where possible.$ g(x) = \sinh^2 x $

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Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 11

Hyperbolic Functions

Derivatives

Differentiation

Oregon State University

University of Michigan - Ann Arbor

Idaho State University

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.

00:43

Find the derivative. Simpl…

01:01

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01:24

Find the derivative of the…

00:32

we know the derivative of signed H of X is co sign a cheque. Rex, Therefore, if are you is sign a true pax thingy of you Is you squared? We can write this as two year times co signed h of axe is equivalent to two co signed h of axe times signed H A box because now repugnant. If this is air you over here, we're plugging in. Are you with this? Therefore we can simplify this to be g prime of axe is signed Age of two X Now remember, this is a special case trick identity list in the textbook.

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