Chain Rule and Derivatives Concepts

Chain Rule and Derivatives Concepts

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Patricia Brown

FREE Resource

The video tutorial from Excellence Academy introduces the chain rule, a method of differentiation used when dealing with functions that are sums or differences raised to a power. The instructor explains the concept of the chain rule, providing a detailed example problem and a step-by-step solution. The tutorial concludes with expressing the final result in terms of the original variable, x.

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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary use of the chain rule in differentiation?

To differentiate functions with a single term.

To differentiate functions with multiple terms raised to a power.

To integrate functions with multiple terms.

To solve linear equations.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which formula represents the chain rule?

dy/dx = du/dx * dx/dy

dy/dx = dx/du * du/dy

dy/dx = dy/du * du/dx

dy/dx = dy/dx * dx/du

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example of differentiating x squared, what is the derivative?

2x^2

x^2

2x

x

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When applying the chain rule, what is the first step in handling a complex function?

Differentiate directly with respect to x.

Substitute the inner function with a new variable.

Multiply by a constant.

Integrate the function.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the derivative of u squared with respect to u?

u

2u^2

u^2

2u

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the chain rule application, what is the derivative of 6 with respect to x?

x

0

1

6

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of du/dx for u = 6 + x?

0

1

x

6

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