Chapter 1.

1.1 Problem Statement

{2,4,6,8}
{3,5,7,9}
3*$b
2*$c
6*$b

Calculate y'' and y''' if

1.2 Step 1

We can use the product rule to find the first derivative, y', since function y is the product of two functions, θ2 and $b·θ + $c. However, expanding their product first will simplify the process for finding the higher derivatives of y.

Question 1.1

y = θ2($b·θ+$c)

= $b·θ3 +SFgqQUkJGdg=·θ2

Correct.
Incorrect.

1.3 Step 2

Question 1.2

In order to calculate the second derivative, y'', we need to calculate first y'.

y = $b·θ3 + $c·θ2

y' = ZTplg4MlENY=·θ2+5r+5kgPttyw=·θ

Correct.
Incorrect.

1.4 Step 3

Question 1.3

Now, calculate y'' by taking the derivative of y'.

y' = $b3·θ2 + $c2·θ

y'' = Z8sUmBKAbIk=·θ + 5r+5kgPttyw=

Correct.
Incorrect.

1.5 Step 3

Question 1.4

Finally, calculate y''' by taking the derivative of y''.

y'' = $b6·θ + $c2

y''' = Z8sUmBKAbIk=

Correct.
Incorrect.