Derivative from a table using product rule

Derivative from a table using product rule

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to find the derivative of a function using the product rule. It begins with an introduction to derivatives, followed by a detailed explanation of applying the product rule to functions G of X and H of X. The tutorial then demonstrates evaluating the derivative at X=5 using a table of values, leading to a final calculation and conclusion. The process is broken down into simple steps to aid understanding.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in finding the derivative of F of X using the product rule?

Add G of X to H of X

Multiply G of X by H of X

Take the derivative of G of X

Subtract H of X from G of X

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When evaluating the derivative at X = 5, which value do you need to calculate first?

H prime of 5

G of 5

G prime of 5

H of 5

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the numerical example, what is the value of G prime of 5?

3

5

2

6

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of multiplying 6 by 3 in the example calculation?

15

12

9

18

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final result of the derivative calculation at X = 5?

20

18

24

22