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Differentiate.

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

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

00:25

Frank Lin

Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 2

The Product and Quotient Rules

Derivatives

Differentiation

Missouri State University

Harvey Mudd College

University of Nottingham

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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it's clear. So when you right here, we're going to different shape. Why equals X over Beat the ex using the quotient role. So we have Why is equal to eat the axe t x over d X minus x tons de e to the X over the ex all over e to the X squared Then we get eat the X times one minus x times each the axe all over each The X square This becomes equal to eat the x ton of one minus x over. Eat the X square which is equal to one minus X over. Eat the eggs.

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