d/dx
Answers
Step-by-step explanation:
d/dx(x^2+10x+cosx)
=2x+10-sinx
Answer:
Enter a problem...
Calculus Examples
Popular Problems Calculus Find the Derivative - d/dx -10x+3cos(x)
−
10
x
+
3
cos
(
x
)
By the Sum Rule, the derivative of
−
10
x
+
3
cos
(
x
)
with respect to
x
is
d
d
x
[
−
10
x
]
+
d
d
x
[
3
cos
(
x
)
]
.
d
d
x
[
−
10
x
]
+
d
d
x
[
3
cos
(
x
)
]
Evaluate
d
d
x
[
−
10
x
]
.
Tap for fewer steps...
Since
−
10
is constant with respect to
x
, the derivative of
−
10
x
with respect to
x
is
−
10
d
d
x
[
x
]
.
−
10
d
d
x
[
x
]
+
d
d
x
[
3
cos
(
x
)
]
Differentiate using the Power Rule which states that
d
d
x
[
x
n
]
is
n
x
n
−
1
where
n
=
1
.
−
10
⋅
1
+
d
d
x
[
3
cos
(
x
)
]
Multiply
−
10
by
1
.
−
10
+
d
d
x
[
3
cos
(
x
)
]
Evaluate
d
d
x
[
3
cos
(
x
)
]
.
Tap for fewer steps...
Since
3
is constant with respect to
x
, the derivative of
3
cos
(
x
)
with respect to
x
is
3
d
d
x
[
cos
(
x
)
]
.
−
10
+
3
d
d
x
[
cos
(
x
)
]
The derivative of
cos
(
x
)
with respect to
x
is
−
sin
(
x
)
.
−
10
+
3
(
−
sin
(
x
)
)
Multiply
−
1
by
3
.
−
10
−
3
sin
(
x
)
please mark me as the brainliest.....