calc_tutorial_3_5

Problem Statement

{2,4,6,8}

{3,5,7,9}

3*4

2*5

6*4

Calculate y'' and y'''.

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 4·θ + 5. However, expanding their product first will simplify the process for finding the higher derivatives of y.

Question 1

y = θ²(4·θ+5)

= 4·θ³ +·θ²

Correct.

Incorrect.

Step 2

Question 2

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

y = 4·θ³ + 5·θ²

y' = ·θ²+·θ

Correct.

Incorrect.

Step 3

Question 3

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

y' = 12·θ² + 10·θ

y'' = ·θ +

Correct.

Incorrect.

Step 3

Question 4

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

y'' = 24·θ + 10

y''' =

Correct.

Incorrect.