Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let
f
(
x
)
=
3
x
4
−
4
x
2
+
5
x
4
−
7
f(x)=3x^4-4x^2+5x^4-7
f
(
x
)
=
3
x
4
−
4
x
2
+
5
x
4
−
7
. Answer the following questions. a. (i) Simplify the expression for
f
(
x
)
f(x)
f
(
x
)
by combining like terms. b. (ii) Find
d
f
d
x
\dfrac{df}{dx}
d
x
df
for the simplified form of
f
(
x
)
f(x)
f
(
x
)
. c. (iii) Evaluate
d
f
d
x
\dfrac{df}{dx}
d
x
df
at
x
=
1
x=1
x
=
1
. Express your answer as an integer.
Browse the problem library