Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
For
y
=
ln
(
5
x
+
2
)
y=\ln (5x+2)
y
=
ln
(
5
x
+
2
)
, where
x
>
−
2
5
x>-\dfrac{2}{5}
x
>
−
5
2
, answer the following: a. (i) Calculate
d
y
d
x
\dfrac{dy}{dx}
d
x
d
y
. b. (ii) Determine
d
2
y
d
x
2
\dfrac{d^{2}y}{dx^{2}}
d
x
2
d
2
y
. c. (iii) Find the numerical value of
d
2
y
d
x
2
\dfrac{d^{2}y}{dx^{2}}
d
x
2
d
2
y
at
x
=
1
x=1
x
=
1
.
Browse the problem library