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Math Problems
Calculus
Find derivatives using logarithmic differentiation
Find the derivative of the following function.
\newline
y
=
ln
(
−
x
5
)
y=\ln \left(-x^{5}\right)
y
=
ln
(
−
x
5
)
\newline
Answer:
y
′
=
y^{\prime}=
y
′
=
Get tutor help
Find the derivative of the following function.
\newline
y
=
ln
(
−
2
x
3
)
y=\ln \left(-2 x^{3}\right)
y
=
ln
(
−
2
x
3
)
\newline
Answer:
y
′
=
y^{\prime}=
y
′
=
Get tutor help
Find the derivative of the following function.
\newline
y
=
ln
(
4
x
5
)
y=\ln \left(4 x^{5}\right)
y
=
ln
(
4
x
5
)
\newline
Answer:
y
′
=
y^{\prime}=
y
′
=
Get tutor help
Find the derivative of the following function.
\newline
y
=
ln
(
x
4
)
y=\ln \left(x^{4}\right)
y
=
ln
(
x
4
)
\newline
Answer:
y
′
=
y^{\prime}=
y
′
=
Get tutor help
Find the derivative of the following function.
\newline
y
=
ln
(
−
2
x
5
)
y=\ln \left(-2 x^{5}\right)
y
=
ln
(
−
2
x
5
)
\newline
Answer:
y
′
=
y^{\prime}=
y
′
=
Get tutor help
Find the derivative of the following function.
\newline
y
=
ln
(
x
6
−
6
x
5
)
y=\ln \left(x^{6}-6 x^{5}\right)
y
=
ln
(
x
6
−
6
x
5
)
\newline
Answer:
y
′
=
y^{\prime}=
y
′
=
Get tutor help
Find the derivative of the following function.
\newline
y
=
ln
(
4
x
4
)
y=\ln \left(4 x^{4}\right)
y
=
ln
(
4
x
4
)
\newline
Answer:
y
′
=
y^{\prime}=
y
′
=
Get tutor help
Find the derivative of the following function.
\newline
y
=
ln
(
−
8
x
5
)
y=\ln \left(-8 x^{5}\right)
y
=
ln
(
−
8
x
5
)
\newline
Answer:
y
′
=
y^{\prime}=
y
′
=
Get tutor help
- Let
g
g
g
be a function such that
g
(
4
)
=
16
g(4)=16
g
(
4
)
=
16
and
g
′
(
4
)
=
12
g^{\prime}(4)=12
g
′
(
4
)
=
12
.
\newline
- Let
h
h
h
be the function
h
(
x
)
=
x
h(x)=\sqrt{x}
h
(
x
)
=
x
.
\newline
Let
H
H
H
be a function defined as
H
(
x
)
=
g
(
x
)
h
(
x
)
H(x)=\frac{g(x)}{h(x)}
H
(
x
)
=
h
(
x
)
g
(
x
)
.
\newline
H
′
(
4
)
=
H^{\prime}(4)=
H
′
(
4
)
=
Get tutor help
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