You just got your derivatives test back, and you can’t under- stand why that teacher of yours deducted so many points for what you thought was your best work: f ' ( a ) = lim h → 0 f ( x + h ) − f ( x ) h = lim h → 0 f ( x ) + h − f ( x ) h = lim h → 0 h h Canceled the f ( x ) = 1. X WRONG − 10 What was wrong with your answer? (There may be more than one error.)
You just got your derivatives test back, and you can’t under- stand why that teacher of yours deducted so many points for what you thought was your best work: f ' ( a ) = lim h → 0 f ( x + h ) − f ( x ) h = lim h → 0 f ( x ) + h − f ( x ) h = lim h → 0 h h Canceled the f ( x ) = 1. X WRONG − 10 What was wrong with your answer? (There may be more than one error.)
Solution Summary: The author explains that the error in the expression is that f(x+h) is not equal to
You just got your derivatives test back, and you can’t under- stand why that teacher of yours deducted so many points for what you thought was your best work:
f
'
(
a
)
=
lim
h
→
0
f
(
x
+
h
)
−
f
(
x
)
h
=
lim
h
→
0
f
(
x
)
+
h
−
f
(
x
)
h
=
lim
h
→
0
h
h
Canceled the
f
(
x
)
=
1.
X WRONG
−
10
What was wrong with your answer? (There may be more than one error.)
Consider the following system of equations, Ax=b :
x+2y+3z - w = 2
2x4z2w = 3
-x+6y+17z7w = 0
-9x-2y+13z7w = -14
a. Find the solution to the system. Write it as a parametric equation. You can use a
computer to do the row reduction.
b. What is a geometric description of the solution? Explain how you know.
c. Write the solution in vector form?
d. What is the solution to the homogeneous system, Ax=0?
2. Find a matrix A with the following qualities
a. A is 3 x 3.
b. The matrix A is not lower triangular and is not upper triangular.
c. At least one value in each row is not a 1, 2,-1, -2, or 0
d. A is invertible.
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