MATHEMATICS CLASS XII VOLUME-1>Chapter 13 - Derivative as a Rate Measurer>EXERCISE>Q 6

MEDIUM

12th CBSE

IMPORTANT

Earn 100

Find the rate of change of the area of a circle with respect to its radius $r$ when $r = 5 cm$ .

Important Questions on Derivative as a Rate Measurer

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 13 - Derivative as a Rate Measurer>EXERCISE>Q 7

Find the rate of change of the volume of a ball with respect to its radius $r$ . How fast is the volume changing with respect to the radius when the radius is

2 cm

?

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12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 13 - Derivative as a Rate Measurer>EXERCISE>Q 8

The total cost

C (x)

associated with the production of

x

units of an item is given by

C (x) = 0.007 x^{3} - 0.003 x^{2} + 15 x + 4000

. Find the marginal cost when

17

units are produced ?

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 13 - Derivative as a Rate Measurer>EXERCISE>Q 9

The total revenue received from the sale of $x$ units of a product is given by

R (x) = 13 x^{2} + 26 x + 15

. Find the marginal revenue when

x = 7

.

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 13 - Derivative as a Rate Measurer>EXERCISE>Q 10

The money to be spent for the welfare of the employees of a firm is proportional to the rate of change of its total revenue (Marginal revenue). If the total revenue (in rupees) recieved from the sale of $x$ units of a product is given by

R (x) = 3 x^{2} + 36 x + 5

, find the marginal revenue, when

x = 5

, and write which value does the question indicate ?

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12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 13 - Derivative as a Rate Measurer>EXERCISE>Q 1

The side of a square sheet is increasing at the rate of

4 cm

per minute. At what rate is the area increasing when the side is

8 cm

long?

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12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 13 - Derivative as a Rate Measurer>EXERCISE>Q 2

An edge of a variable cube is increasing at the rate of

3 cm

per second. How fast is the volume of the cube increasing when the edge is

10 cm

long?

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 13 - Derivative as a Rate Measurer>EXERCISE>Q 3

The side of a square is increasing at the rate of

0.2 cm / \sec

. Find the rate of increase of the perimeter of the square.

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 13 - Derivative as a Rate Measurer>EXERCISE>Q 4

The radius of a circle is increasing at the rate of

0.7 cm / \sec

. What is the rate of increase of its circumference?