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\[\frac{d}{dx} \sqrt{5}(6{x}^{2}-6x+1)\]
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dif(sqrt(5)*(6*x^2-6*x+1))
differentiate sqrt(5)*(6*x^2-6*x+1)
\frac{d}{dx} \sqrt{5}(6{x}^{2}-6x+1)
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
)
)
.
5
(
d
d
x
6
x
2
−
6
x
+
1
)
\sqrt{5}(\frac{d}{dx} 6{x}^{2}-6x+1)
5
(
d
x
d
6
x
2
−
6
x
+
1
)
2
Use
Power Rule
:
d
d
x
x
n
=
n
x
n
−
1
\frac{d}{dx} {x}^{n}=n{x}^{n-1}
d
x
d
x
n
=
n
x
n
−
1
.
5
(
12
x
−
6
)
\sqrt{5}(12x-6)
5
(
1
2
x
−
6
)
Done
sqrt(5)*(12*x-6)
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