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Constant Factor Rule
Reference
> Calculus: Differentiation
Description
d
d
x
c
f
(
x
)
=
c
(
d
d
x
f
(
x
)
)
\frac{d}{dx} cf(x)=c(\frac{d}{dx} f(x))
d
x
d
c
f
(
x
)
=
c
(
d
x
d
f
(
x
)
)
Examples
d
d
x
4
sin
x
\frac{d}{dx} 4\sin{x}
d
x
d
4
sin
x
1
Use
Constant Factor Rule
:
d
d
x
c
f
(
x
)
=
c
(
d
d
x
f
(
x
)
)
\frac{d}{dx} cf(x)=c(\frac{d}{dx} f(x))
d
x
d
c
f
(
x
)
=
c
(
d
x
d
f
(
x
)
)
.
4
(
d
d
x
sin
x
)
4(\frac{d}{dx} \sin{x})
4
(
d
x
d
sin
x
)
2
Use
Trigonometric Differentiation
: the derivative of
sin
x
\sin{x}
sin
x
is
cos
x
\cos{x}
cos
x
.
4
cos
x
4\cos{x}
4
cos
x
Done
4*cos(x)
See Also
-
Power Rule
-
Sum Rule
English
Constant Factor Rule