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The Michaelis-Menten equation for the enzyme chymotrypsin is

$ v = \frac {0.14[S]}{0.015 + [S]} $

where $ v $ is the rate of an enzymatic reaction and [S] is the concentration of a substrate S. Calculate $ dv/d[S] $ and interpret it.

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01:08

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.

02:52

'The Michaelis-Menten…

01:39

The Michaelis-Menten equat…

02:57

01:47

Michaelis-Menten equation …

04:04

The rate equation for an e…

06:24

According to the Michaelis…

03:17

01:11

I mean, it's clear. So when you raid here, so let me, huh of us be equal to 0.1 for us. G f s vehicle thio 0.15 plus us. We'll be equal f over g and using the crow shit rule he over d us of f of us over Ji of us which is equal to G of us de over de us. Uh, of s minus off of us de over de s Jew of us all over two of s square. This becomes equal to 0.15 plus us, do you over deep US 0.1 for us, minus 0.1 for us. Be over D s 0.15 plus ness well over 0.15 plus square in this equals 0.21 over 0.15 Close s square. This represents the instantaneous acceleration of the reaction of the enzyme and it's in respect to the substrate s

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