Use the quotient rule to take the derivative

Use the quotient rule to take the derivative

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a potential issue when applying the quotient rule to complex fractions?

It only works for simple fractions.

It eliminates the need for derivatives.

It requires multiple applications of the rule.

It simplifies the process too much.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is one method to simplify a complex fraction?

Dividing by a constant

Adding a new numerator

Multiplying the top and bottom by the same term

Subtracting the denominator

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After simplifying the complex fraction, what is the resulting equation?

Y equals 3X + 1 over X^2 - 5X

Y equals 3X - 1 over X^2 + 5X

Y equals 3X + 1 over X^2 + 5X

Y equals 3X - 1 over X^2 - 5X

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the context of the quotient rule, what does G of X represent?

The derivative of the numerator

The numerator of the original fraction

The derivative of the denominator

The denominator of the original fraction

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final derivative expression obtained after applying the quotient rule?

Negative 3X^2 - 2X + 5 over X^2 + 5X squared

3X^2 - 2X - 5 over X^2 + 5X squared

Negative 3X^2 + 2X + 5 over X^2 + 5X squared

3X^2 + 2X - 5 over X^2 + 5X squared