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Mathematics
Problem
The derivative of a function is written in Lagrange notation as
f
′
(
x
)
=
3
x
2
−
4
f'(x)=3x^{2}-4
f
′
(
x
)
=
3
x
2
−
4
. Which of the following correctly expresses the same derivative in Leibniz notation? a)
d
y
=
(
3
x
2
−
4
)
d
x
dy=(3x^{2}-4)\,dx
d
y
=
(
3
x
2
−
4
)
d
x
b)
d
x
d
y
=
3
x
2
−
4
\dfrac{dx}{dy}=3x^{2}-4
d
y
d
x
=
3
x
2
−
4
c)
d
y
d
x
=
3
x
2
−
4
\dfrac{dy}{dx}=3x^{2}-4
d
x
d
y
=
3
x
2
−
4
d)
d
y
d
x
=
6
x
\dfrac{dy}{dx}=6x
d
x
d
y
=
6
x
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