EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 24 - Application of Derivatives>TS EAMCET 2019 (03-May Shift-2)>Q 22

MEDIUM

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IMPORTANT

Earn 100

A right solid circular cylinder of given volume will have the least total surface area when

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Important Questions on Application of Derivatives

EASY

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 24 - Application of Derivatives>TS EAMCET 2019 (03-May Shift-2)>Q 23

The smaller side of the rectangle with the largest area, that can be inscribed inside a semi-circle of radius

2

units is of length

MEDIUM

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 24 - Application of Derivatives>TS EAMCET 2019 (03-May Shift-2)>Q 24

Let

f (x) = (x - 3)^{2018} (x - 2)^{2019}, x \in ℝ

. If

f (α)

is a relative maximum of

f

at

x = α

, then

2 α + 3 f (α) =

MEDIUM

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 24 - Application of Derivatives>TS EAMCET 2021 (04-Aug Shift-2)>Q 25

The absolute maximum value of the function

f (x) = 2 x^{3} - 9 x^{2} + 12 x + 1

on

[0, 2]

is

HARD

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 24 - Application of Derivatives>TS EAMCET - 5 August 2021 Shift 2>Q 26

Assertion $(A) :$ The maximum value of $- x^{2} + 3 x + 1$ is $\frac{11}{4} .$

Reason $(R) :$ If $a < 0,$ the maximum value of $a x^{2} + b x + c$ exist at $x = \frac{- b}{2 a} .$

The correct option among the following is

EASY

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 24 - Application of Derivatives>TS EAMCET - 5 August 2021 Shift 2>Q 27

If a cubic function

f (x) = a x^{3} + b x^{2} - \frac{18}{5} x + \frac{19}{10}

has maximum value

10

at

x = - 3

and has minimum value

\frac{- 5}{2}

at

x = 2,

then

f (1) =