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Prove the identity.$ \frac {1 + \tanh x}{1 - \tanh x} = e^{2x} $
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Calculus 1 / AB
Chapter 3
Differentiation Rules
Section 11
Hyperbolic Functions
Derivatives
Differentiation
Missouri State University
Oregon State University
Baylor University
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.
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Prove the identity.$ \…
we know we can write this as one plus sign. Age of Axe over co sign H of X, divided by one minus Sign H of X over co sign H of acts. This simplifies to co sign a chav axe was signed H of X over co sign a check box minus signed H of X, which is equivalent to either the axe over eat of the negative axe, which is either the two packs because it's maximize negative X, which is expose sex, which is two X. Okay, now we can write this out. A sign a chair backs is eating the axe months. Each of the negative X over to and coast John H. Of X is either the axe plus E to the negative axe over, too. Therefore, tangent H of Axe, the Sign Age Max over co sign a check box.
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