Differentiate the functions in Exercises 11 − 20 using one or more of the differentiation rules discussed thus far. Given f ( 1 ) = 1 , f ' ( 1 ) = 5 , g ( 1 ) = 3 , g ' ( 1 ) = 4 , f ' ( 3 ) = 2 and g ' ( 3 ) = 6 , compute the following derivatives: d d x [ g ( f ( x ) ) ] | x = 1
Differentiate the functions in Exercises 11 − 20 using one or more of the differentiation rules discussed thus far. Given f ( 1 ) = 1 , f ' ( 1 ) = 5 , g ( 1 ) = 3 , g ' ( 1 ) = 4 , f ' ( 3 ) = 2 and g ' ( 3 ) = 6 , compute the following derivatives: d d x [ g ( f ( x ) ) ] | x = 1
Solution Summary: The author explains how to calculate dg(f(x))|_x=1=20.
Differentiate the functions in Exercises
11
−
20
using one or more of the differentiation rules discussed thus far.
Given
f
(
1
)
=
1
,
f
'
(
1
)
=
5
,
g
(
1
)
=
3
,
g
'
(
1
)
=
4
,
f
'
(
3
)
=
2
and
g
'
(
3
)
=
6
,
compute the following derivatives:
d
d
x
[
g
(
f
(
x
)
)
]
|
x
=
1
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
Robbie
Bearing Word Problems
Angles
name:
Jocelyn
date: 1/18
8K
2. A Delta airplane and an SouthWest airplane take off from an airport
at the same time. The bearing from the airport to the Delta plane is
23° and the bearing to the SouthWest plane is 152°. Two hours later
the Delta plane is 1,103 miles from the airport and the SouthWest
plane is 1,156 miles from the airport. What is the distance between the
two planes? What is the bearing from the Delta plane to the SouthWest
plane? What is the bearing to the Delta plane from the SouthWest
plane?
Delta
y
SW
Angles
ThreeFourthsMe MATH
2
Find the derivative of the function.
m(t) = -4t (6t7 - 1)6
Find the derivative of the function.
y= (8x²-6x²+3)4
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.