where: y = child's dose c = age of child in years a = adult dose Computation of the derivative of y with respect to c This means that a will be considered as constant. For a formula with more than 2 variables, you are free to choose which among the variable or variables will be considered constant. ас y = C+ 12 (с + 12)(а) — аc(с + 12) dy dc (c + 12)2 dy ас + 12а- ас?-12ас (c + 12)2 dc -ac? – 11ac + 12a dy (c + 12)2 ac2 + 11ac – 12a dc dy dc (c + 12)²
where: y = child's dose c = age of child in years a = adult dose Computation of the derivative of y with respect to c This means that a will be considered as constant. For a formula with more than 2 variables, you are free to choose which among the variable or variables will be considered constant. ас y = C+ 12 (с + 12)(а) — аc(с + 12) dy dc (c + 12)2 dy ас + 12а- ас?-12ас (c + 12)2 dc -ac? – 11ac + 12a dy (c + 12)2 ac2 + 11ac – 12a dc dy dc (c + 12)²
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.4: Functions Given By Words
Problem 13E
Related questions
Question
![Look for three (3) mathematical formulas related to your chosen field like engineering, health science, or
technology. Write a brief description or explanation about the use of this formula in that field. Find the
derivative of this function (formula) with respect to a specific variable. See the example below.
Example:
Field: MEDICINE
Name of Formula: Young's Rule
Age of Child in Years
Child's dose =
x Adult dose
Age of Child in Years + 12
Description: This formula is used to determine the amount of drug dosage for children over 1 year
of age up to 12 years.
Presentation of the Formula using Variables: [Note: If the formula is already stated in variable
form, no need to do this part.]
ас
y =
а or y %3
c + 12
c + 12
where:
y = child's dose
c = age of child in years
a = adult dose
Computation of the derivative of y with respect to c
This means that a will be considered as constant. For a formula with more than 2 variables, you
are free to choose which among the variable or variables will be considered constant.
ас
y =
c + 12
(c + 12)(a) – ac(c + 12)
dy
(c + 12)²
ас + 12а- ас?-12ас
(c + 12)2
- 11ac + 12a
dc
dy
dc
-ac?.
(c + 12)2
ac? + 11ac 12a
dy
%3D
dc
dy
dc
(c + 12)²](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F09300b2f-e3c8-4fcf-9925-da4660f1aa88%2F70729f02-cbdd-4e97-b0c3-ffe1b5b21cff%2Fecwu8hg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Look for three (3) mathematical formulas related to your chosen field like engineering, health science, or
technology. Write a brief description or explanation about the use of this formula in that field. Find the
derivative of this function (formula) with respect to a specific variable. See the example below.
Example:
Field: MEDICINE
Name of Formula: Young's Rule
Age of Child in Years
Child's dose =
x Adult dose
Age of Child in Years + 12
Description: This formula is used to determine the amount of drug dosage for children over 1 year
of age up to 12 years.
Presentation of the Formula using Variables: [Note: If the formula is already stated in variable
form, no need to do this part.]
ас
y =
а or y %3
c + 12
c + 12
where:
y = child's dose
c = age of child in years
a = adult dose
Computation of the derivative of y with respect to c
This means that a will be considered as constant. For a formula with more than 2 variables, you
are free to choose which among the variable or variables will be considered constant.
ас
y =
c + 12
(c + 12)(a) – ac(c + 12)
dy
(c + 12)²
ас + 12а- ас?-12ас
(c + 12)2
- 11ac + 12a
dc
dy
dc
-ac?.
(c + 12)2
ac? + 11ac 12a
dy
%3D
dc
dy
dc
(c + 12)²
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