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Differentiate.

$ y = \frac {e^x}{1 - e^x} $

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00:52

Frank Lin

Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 2

The Product and Quotient Rules

Derivatives

Differentiation

Missouri State University

Harvey Mudd College

Baylor 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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Differentiate.$$y=x^{-…

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$ y…

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Differentiate.$$y=e^{x…

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Differentiate.$y=\frac…

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Differentiate the function…

he looks clear. So when you right here. So we're gonna take the derivative and we got dee over D X or eat the X over one minus heats. Thanks. Which is equal to D over D. X needs the axe. Times one minus eats the X minus. Eat The X comes de over de ex one minus Eat the eggs. This is all over. One minus each The X square This becomes equal to one minus. Eat the axe Times e to the X minus zero minus meets the X terms Eat the X all over one minus Eat the axe square but just equal thio e to two x plus one minus Eat the ex Comfy to the ex all over one minus Eat the X square When we rewrite and simplify we got eat to the ex Over eat to the X minus one square

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