y = 2sinx - 4cosx - 8x^3
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Calculus Examples
Popular Problems Calculus Find the Derivative - d/dx f(x)=4cos(x)+2sin(x)
f
(
x
)
=
4
cos
(
x
)
+
2
sin
(
x
)
By the Sum Rule, the derivative of
4
cos
(
x
)
+
2
sin
(
x
)
with respect to
x
is
d
d
x
[
4
cos
(
x
)
]
+
d
d
x
[
2
sin
(
x
)
]
.
d
d
x
[
4
cos
(
x
)
]
+
d
d
x
[
2
sin
(
x
)
]
Evaluate
d
d
x
[
4
cos
(
x
)
]
.
Tap for fewer steps...
Since
4
is constant with respect to
x
, the derivative of
4
cos
(
x
)
with respect to
x
is
4
d
d
x
[
cos
(
x
)
]
.
4
d
d
x
[
cos
(
x
)
]
+
d
d
x
[
2
sin
(
x
)
]
The derivative of
cos
(
x
)
with respect to
x
is
−
sin
(
x
)
.
4
(
−
sin
(
x
)
)
+
d
d
x
[
2
sin
(
x
)
]
Multiply
−
1
by
4
.
−
4
sin
(
x
)
+
d
d
x
[
2
sin
(
x
)
]
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