Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
∑
x
=
1
2
(
6
x
)
=
\sum_{x=1}^{2}(6 x)=
∑
x
=
1
2
(
6
x
)
=
View step-by-step help
Home
Math Problems
Calculus
Find derivatives using the chain rule I
Full solution
Q.
∑
x
=
1
2
(
6
x
)
=
\sum_{x=1}^{2}(6 x)=
∑
x
=
1
2
(
6
x
)
=
Given Expression:
The given expression is a finite arithmetic series where we sum the values of
6
x
6x
6
x
for each integer
x
x
x
from
1
1
1
to
2
2
2
.
Calculate Term for
x
=
1
x = 1
x
=
1
:
First, we calculate the term for
x
=
1
x = 1
x
=
1
, which is
6
×
1
=
6
6 \times 1 = 6
6
×
1
=
6
.
Calculate Term for
x
=
2
x = 2
x
=
2
:
Next, we calculate the term for
x
=
2
x = 2
x
=
2
, which is
6
×
2
=
12
6 \times 2 = 12
6
×
2
=
12
.
Find Total Sum:
Now, we add the two terms together to find the total sum:
6
+
12
=
18
6 + 12 = 18
6
+
12
=
18
.
More problems from Find derivatives using the chain rule I
Question
Find the derivative of
f
(
x
)
f(x)
f
(
x
)
.
\newline
f
(
x
)
=
cos
(
x
)
f(x) = \cos(x)
f
(
x
)
=
cos
(
x
)
\newline
f
′
(
x
)
=
f'(x) =
f
′
(
x
)
=
______
Get tutor help
Posted 11 months ago
Question
Find the derivative of
f
(
x
)
f(x)
f
(
x
)
.
\newline
f
(
x
)
=
tan
(
x
)
f(x) = \tan(x)
f
(
x
)
=
tan
(
x
)
\newline
f
′
(
x
)
=
f'(x) =
f
′
(
x
)
=
______
Get tutor help
Posted 1 year ago
Question
Find the derivative of
f
(
x
)
f(x)
f
(
x
)
.
\newline
f
(
x
)
=
e
x
f(x) = e^x
f
(
x
)
=
e
x
\newline
f
′
(
x
)
=
f'\left(x\right) =
f
′
(
x
)
=
______
Get tutor help
Posted 1 year ago
Question
Find the derivative of
f
(
x
)
f(x)
f
(
x
)
.
\newline
f
(
x
)
=
ln
(
x
)
f(x) = \ln(x)
f
(
x
)
=
ln
(
x
)
\newline
f
′
(
x
)
=
f'(x) =
f
′
(
x
)
=
______
Get tutor help
Posted 1 year ago
Question
Find the derivative of
f
(
x
)
f(x)
f
(
x
)
.
\newline
f
(
x
)
=
tan
−
1
x
f(x) = \tan^{-1}{x}
f
(
x
)
=
tan
−
1
x
\newline
f
′
(
x
)
=
f'(x) =
f
′
(
x
)
=
______
Get tutor help
Posted 1 year ago
Question
Find the derivative of
f
(
x
)
f(x)
f
(
x
)
.
\newline
f
(
x
)
=
x
e
x
f(x) = x e^x
f
(
x
)
=
x
e
x
\newline
f
′
(
x
)
=
f'\left(x\right) =
f
′
(
x
)
=
______
Get tutor help
Posted 1 year ago
Question
Find the derivative of
f
(
x
)
f(x)
f
(
x
)
.
\newline
f
(
x
)
=
e
x
x
f(x) = \frac{e^x}{x}
f
(
x
)
=
x
e
x
\newline
f
′
(
x
)
=
f'(x) =
f
′
(
x
)
=
______
Get tutor help
Posted 1 year ago
Question
Find the derivative of
f
(
x
)
f(x)
f
(
x
)
.
\newline
f
(
x
)
=
e
(
x
+
1
)
f(x) = e^{(x + 1)}
f
(
x
)
=
e
(
x
+
1
)
\newline
f
′
(
x
)
=
f'\left(x\right) =
f
′
(
x
)
=
______
Get tutor help
Posted 11 months ago
Question
Find the derivative of
f
(
x
)
f(x)
f
(
x
)
.
\newline
f
(
x
)
=
x
+
3
f(x) = \sqrt{x+3}
f
(
x
)
=
x
+
3
\newline
f
′
(
x
)
=
f'(x) =
f
′
(
x
)
=
______
Get tutor help
Posted 1 year ago
Question
Find the derivative of
g
(
x
)
g(x)
g
(
x
)
.
\newline
g
(
x
)
=
ln
(
2
x
)
g(x) = \ln(2x)
g
(
x
)
=
ln
(
2
x
)
\newline
g
′
(
x
)
=
g^{\prime}(x) =
g
′
(
x
)
=
______
Get tutor help
Posted 1 year ago
Related topics
Algebra - Order of Operations
Algebra - Distributive Property
`X` and `Y` Axes
Geometry - Scalene Triangle
Common Multiple
Geometry - Quadrant