Indian Navy Pilot Application of Derivatives — practice questions — page 2

Explore 32 free Application of Derivatives questions in Indian Navy Pilot Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Complete the second derivative testRead the answer and worked solution →True or false: scope of this chapterRead the answer and worked solution →

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Complete the second derivative test

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Missing parts

Answer
maxima
Choices
1. maxima
2. minima
3. inflexion
Answer
minima
Choices
1. maxima
2. minima
3. inflexion
Answer
fails
Choices
1. fails
2. still applies
3. gives inflexion

Complete the statement

If f ′(c) = 0 and f ″(c) < 0 then c is a point of local {0}. If f ′(c) = 0 and f ″(c) > 0 then c is a point of local {1}. If f ″(c) = 0 as well, the test {2}.

Both halves of the test, plus the case where it gives up. Source: syllabus Maths Part I, Ch 6 Application of Derivatives.

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True or false: scope of this chapter

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Questions

Statement is true
Yes
Statement
This chapter covers increasing and decreasing functions.
Statement is true
Yes
Statement
This chapter gives a working rule for absolute maxima.
Statement is true
Yes
Statement
This chapter defines a critical point.
Statement is true
No
Statement
A point of inflexion is a kind of local maximum.
Statement is true
Yes
Statement
The first derivative test needs f continuous at the critical point.

Keeps the topic honest about what the current edition contains. Source: syllabus Maths Part I, Ch 6 Application of Derivatives.