Problem Statement

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

Calculate if

 
Step 1

Question Sequence

Question 1

To calculate the derivative of the given equation where y is not explicitly defined in terms of x, we will need to .

Incorrect
Correct

 
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 2

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

Incorrect
Correct

 
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 3

,

,

Correct.
Incorrect.

 
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 4

,

,

2

Correct.
Incorrect.

 
Step 5

Substitute appropriately and to complete the implicit differentiation.

Question Sequence

Question 5

2

Correct.
Incorrect.