Chapter 1.

1.1 Problem Statement

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

Calculate if

1.2 Step 1

Question Sequence

Question 1.1

To calculate the derivative of the given equation where y is not explicitly defined in terms of x, we will need to X2bEjAs8z/WQs44Ekxq9cxhR+RhnbBnQbZZeAY2uIRpyay/Lx0W4Y03eJcb2gl1u2XV9ULbSu3olJc/sD5/bH1jLxuX+V7Lqupz/RQ==.

Incorrect
Correct

1.3 Step 2

Using implicit differentiation, we treat x and y independently while differentiating both sides of the equation with respect to x.

Question Sequence

Question 1.2

Since y depends on x, the derivative with respect to x of an expression in y will require the h7vOfFiWAeyu3ttnaeDRK1OUdgNbmbP4Lhx/LxuUioUWw1Zk rule.

Incorrect
Correct

1.4 Step 3

Implicitly take the derivative with respect to x of the right-hand side of the equation, . Use the chain rule and the sum rule where appropriate.

Question 1.3

, O17iMtiT3SUWPtKHko87jaAClVNbtirQ

, BjwzY9TU5Doo0D1Wvr1+FOJFRIR4mSuu

NjUOTmdD8hA= qyAO61S1bik=

Correct.
Incorrect.

1.5 Step 4

Implicitly take the derivative with respect to x of the left-hand side of the equation,. Use the chain rule and the product rule where appropriate.

Question 1.4

, HKeXBnh/Cu9apmShtZb8UWBwJCywBhtjaEKGNg==

, PsmUvuVWtmNnWnNjwnfw9Muuhhyfya1OnCmXog==

pdlFLKGakEU= 2 XvVM00l89Is=

Correct.
Incorrect.

1.6 Step 5

Substitute appropriately and to complete the implicit differentiation.

Question Sequence

Question 1.5

pdlFLKGakEU= 2 qyAO61S1bik=

NjUOTmdD8hA=

Correct.
Incorrect.

Question 1.6

Solve for to calculate the derivative of y with respect to x of .

a = NjUOTmdD8hA=, b = XvVM00l89Is=, c = qyAO61S1bik=

Correct.
Incorrect.