EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 22 - Application of Derivatives>AMU-AT (B.Tech.) 2019>Q 1

EASY

AMU-AT (B.Tech.)

IMPORTANT

Earn 100

A particle is moving along the curve $x = a t^{2} + b t + c$ . If $a c = b^{2},$ then the particle would be moving with uniform

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Important Questions on Application of Derivatives

MEDIUM

AMU-AT (B.Tech.)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 22 - Application of Derivatives>AMU-AT (B.Tech.) 2017>Q 2

If

f (x) = x e^{x (1 - x)},

then

f (x)

is

EASY

AMU-AT (B.Tech.)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 22 - Application of Derivatives>AMU-AT (B.Tech.) 2017>Q 3

The equation of the normal to the curve

y = e^{x}

at

(0, 1)

is

EASY

AMU-AT (B.Tech.)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 22 - Application of Derivatives>AMU-AT (B.Tech.) 2017>Q 4

The length

x

of a rectangle is decreasing at the rate of

6 cm / \min

and the width

y

is increasing at the rate of

4 cm / \min .

When

x = 8 cm

and

y = 4 cm,

the rate of change of the area of the rectangle (in

{cm}^{2} / min

) is

EASY

AMU-AT (B.Tech.)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 22 - Application of Derivatives>AMU-AT (B.Tech.) 2017>Q 5

The total revenue in rupees received from the sale of

x

units of a product is given by

R (x) = 5 x^{2} + 20 x + 7 .

The marginal revenue, when

x = 8

is

EASY

AMU-AT (B.Tech.)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 22 - Application of Derivatives>AMU-AT (B.Tech.) 2017>Q 6

The function

f (x) = \cos x

is strictly decreasing on