EASY
12th CBSE
IMPORTANT
Earn 100

Find the rate of change of the volume of a sphere with respect to its diameter.

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 3
Find the rate of change of the volume of a sphere with respect to its surface area when the radius is 2cm.
MEDIUM
12th CBSE
IMPORTANT
MATHEMATICS CLASS XII VOLUME-1>Chapter 13 - Derivative as a Rate Measurer>EXERCISE>Q 4
Find the rate of change of the area of a circular disc with respect to its circumference when the radius is 3 cm.
EASY
12th CBSE
IMPORTANT
MATHEMATICS CLASS XII VOLUME-1>Chapter 13 - Derivative as a Rate Measurer>EXERCISE>Q 5
Find the rate of change of the volume of a cone with respect to the radius of its base ?
MEDIUM
12th CBSE
IMPORTANT
MATHEMATICS CLASS XII VOLUME-1>Chapter 13 - Derivative as a Rate Measurer>EXERCISE>Q 6
Find the rate of change of the area of a circle with respect to its radius r when r=5 cm.
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?
MEDIUM
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) = 0.007x3− 0.003x2+ 15x+ 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)=13x2+26x+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)=3x2+36x+5, find the marginal revenue, when x=5, and write which value does the question indicate ?