Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Consider
y
=
x
sin
x
(
2
x
+
3
)
x
2
y=x^{\sin x}(2x+3)^{x^{2}}
y
=
x
s
i
n
x
(
2
x
+
3
)
x
2
for
x
>
0
x>0
x
>
0
. What is
y
′
(
1
)
y'(1)
y
′
(
1
)
? a)
5
sin
1
+
10
ln
5
5\sin 1 + 10\ln 5
5
sin
1
+
10
ln
5
b)
5
sin
1
+
10
ln
5
+
2
5\sin 1 + 10\ln 5 + 2
5
sin
1
+
10
ln
5
+
2
c)
sin
1
+
2
ln
5
+
2
5
\sin 1 + 2\ln 5 + \dfrac{2}{5}
sin
1
+
2
ln
5
+
5
2
d)
5
sin
1
+
10
ln
5
+
1
5\sin 1 + 10\ln 5 + 1
5
sin
1
+
10
ln
5
+
1
Browse the problem library