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Let’s check out your problem:
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
)
=
______
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Math Problems
Calculus
Find derivatives of sine and cosine functions
Full solution
Q.
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
)
=
______
Use derivative rule:
To find the derivative of
f
(
x
)
=
cos
(
x
)
f(x) = \cos(x)
f
(
x
)
=
cos
(
x
)
, we use the fact that the derivative of
cos
(
x
)
\cos(x)
cos
(
x
)
with respect to
x
x
x
is
−
sin
(
x
)
-\sin(x)
−
sin
(
x
)
.
Apply derivative formula:
So,
f
′
(
x
)
=
−
sin
(
x
)
f'(x) = -\sin(x)
f
′
(
x
)
=
−
sin
(
x
)
.
More problems from Find derivatives of sine and cosine functions
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 1 year 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
Question
You pick a card at random, put it back, and then pick another card at random.
\newline
4
4
4
\newline
5
5
5
\newline
6
6
6
\newline
7
7
7
\newline
What is the probability of picking a number greater than
5
5
5
and then picking a
4
4
4
?
\newline
Write your answer as a percentage.
Get tutor help
Posted 6 months ago
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