Differentiate two ways; first, by using the Product Rule; then by multiplying the expression before differentiating compare your results as check. Use a graphing calculate to check your results. g ( x ) = ( 4 x − 3 ) ( 2 x 2 + 3 x + 5 )
Differentiate two ways; first, by using the Product Rule; then by multiplying the expression before differentiating compare your results as check. Use a graphing calculate to check your results. g ( x ) = ( 4 x − 3 ) ( 2 x 2 + 3 x + 5 )
Solution Summary: The author calculates the derivative of the function, gprime (x) using the product rule and power rule.
Differentiate two ways; first, by using the Product Rule; then by multiplying the expression before differentiating compare your results as check. Use a graphing calculate to check your results.
g
(
x
)
=
(
4
x
−
3
)
(
2
x
2
+
3
x
+
5
)
Formula Formula d d x f − g = d d x ( f ) − d d x ( g )
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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