Find the derivative inverse function given a point

Find the derivative inverse function given a point

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to find G prime of 14 by understanding the relationship between a function and its inverse. It starts with the introduction of G prime and the given value of G of 14. The tutorial then explains the concept of function and inverse, highlighting the swapping of domain and range. Finally, it demonstrates the calculation of G prime of 14 using the formula 1 over F prime of 20, resulting in a value of 1 1/2.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial value of G(14) as mentioned in the video?

10

14

24

20

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What concept is highlighted when discussing the function and its inverse?

The input and output remain the same

The domain and range are swapped

The function doubles in value

The function becomes undefined

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which formula is used to find G prime of 14?

G prime of 14 equals F inverse of G of 14

G prime of 14 equals 1 over F inverse of G of 14

G prime of 14 equals 1 over F of 14

G prime of 14 equals F of 14

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of F prime of 20 as used in the calculation?

3

2

4

1

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final result for G prime of 14?

1

1/2

1/3

1/4