Topic 2. Derivative of a Function Summary of Formulas dy + Rule 1. = (c) = 0 dx +Rule 2. dy = dx dx (x") = nx-1 dy Rule 3. dx + Rule 4. y= [(c. f(x)]=c[f(x)] dx d(utv) du±dv dv Rule 5. dx (u,v) = du = u + dx du *(9)-*** Rule 6 = dx Summary of Formulas Rule 7. d()=-Derivative of reciprocal Rule8 a. d(x)=x .xmm 0 Derivative of Rational Exponents dy 1 b. dx=(√) = d√u= √ +Rule 9. Rule 10. dy dy du dx du dx Chain Rule applies to composite funct d(u") =nu".du General Power Rule
Topic 2. Derivative of a Function Summary of Formulas dy + Rule 1. = (c) = 0 dx +Rule 2. dy = dx dx (x") = nx-1 dy Rule 3. dx + Rule 4. y= [(c. f(x)]=c[f(x)] dx d(utv) du±dv dv Rule 5. dx (u,v) = du = u + dx du *(9)-*** Rule 6 = dx Summary of Formulas Rule 7. d()=-Derivative of reciprocal Rule8 a. d(x)=x .xmm 0 Derivative of Rational Exponents dy 1 b. dx=(√) = d√u= √ +Rule 9. Rule 10. dy dy du dx du dx Chain Rule applies to composite funct d(u") =nu".du General Power Rule
Chapter1: Taking Risks And Making Profits Within The Dynamic Business Environment
Section: Chapter Questions
Problem 1CE
Related questions
Question
You need to do problem sets/examples of each of the following:
A. 4 examples each of the 10 basic rules
B. 4 exampels using derivative trigonometric funcrion
C. 4 examples using derivative exponential and logarithmic functions
D. 4 examples using Derivative of inverse trigonometric function
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![Topic 2. Derivative of a Function
Summary of Formulas
dy
+ Rule 1.
=
(c) = 0
dx
+Rule 2.
dy
=
dx
dx
(x") =
nx-1
dy
Rule 3.
dx
+ Rule 4.
y= [(c. f(x)]=c[f(x)]
dx
d(utv) du±dv
dv
Rule 5.
dx
(u,v) =
du
= u +
dx
du
*(9)-***
Rule 6
=
dx
Summary of Formulas
Rule 7. d()=-Derivative of reciprocal
Rule8
a.
d(x)=x
.xmm 0
Derivative of Rational Exponents
dy
1
b. dx=(√) = d√u= √
+Rule 9.
Rule 10.
dy dy du
dx
du dx
Chain Rule applies to composite funct
d(u") =nu".du
General Power Rule](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1b24c23c-d64e-4d74-b3b7-21c47540a80d%2F5860fa8a-f105-4f95-91ce-4a1734ebfa8d%2Fh24nzu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Topic 2. Derivative of a Function
Summary of Formulas
dy
+ Rule 1.
=
(c) = 0
dx
+Rule 2.
dy
=
dx
dx
(x") =
nx-1
dy
Rule 3.
dx
+ Rule 4.
y= [(c. f(x)]=c[f(x)]
dx
d(utv) du±dv
dv
Rule 5.
dx
(u,v) =
du
= u +
dx
du
*(9)-***
Rule 6
=
dx
Summary of Formulas
Rule 7. d()=-Derivative of reciprocal
Rule8
a.
d(x)=x
.xmm 0
Derivative of Rational Exponents
dy
1
b. dx=(√) = d√u= √
+Rule 9.
Rule 10.
dy dy du
dx
du dx
Chain Rule applies to composite funct
d(u") =nu".du
General Power Rule
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