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RD Sharma class 12th exercise CSBQ is a covered NCERT solution used by several students in India. The class 12 maths syllabus is vast and requires a lot of practice to master. However, students may rarely find the time to clear their doubts during school hours. For this purpose, the RD Sharma class 12 chapter 12 exercise CSBQ can be useful to students. The 12th chapter of the NCERT maths book has the topic Derivative as a Rate Measure. It is a pretty concise chapter but complicated nonetheless. It covers concepts like deriving rate measurer, theorems regarding the rate measurer and many sums related to it. The CSBQ exercise will have 15 questions from a mixture of all these concepts.
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Derivative as a Rate Measurer exercise case study base question, question 1(i)
Answer:
Hint:
Here, we use the concept of volume.
Given:
Length decreases at the rate of 5cm and with increase at the rate of 4cm/sec
Solution:
So, let x be length of rectangular sheet and y be width of rectangular sheet
Because length decrease so value must be negative
and because width increase. So value must be positive
Derivative as a Rate Measure exercise case study based question, question 1(ii)
Answer:

Hint:
Here, we use the formula of perimeter (P) of a rectangle
Given: and
Solution:
Hence, the perimeter is decreases at the rate of
Derivative as a Rate Measure exercise case study based question, question 1(iii)
Answer:
Hint:
Here, we use the formula of area
Given:
x=8cm
Y=6cm
Solution:
Derivative as a Rate Measure exercise case study based question, question 1(iv)
Answer:Derivative as a Rate Measure exercise case study based question, question 1(v)
Answer:
Hint:
Here, we use basic concepts of area
Given:
x=8 y=6
Solution:
x=8 y=6
So, according to Pythagoras
P=10
So, change of ratio of length and breadth
Derivative as a Rate Measure exercise case study based question, question 2(i)
Answer:
Hint:
Here we use concept of cube
Given:
Length= 10 cm
Total surface area of cube
Differentiate it
Derivative as a Rate Measurer exercise case study base question, question 2(ii)
Answer:Derivative as a Rate Measurer exercise case study base question, question 2(iii)
Answer:Derivative as a Rate Measurer exercise case study base question, question 2(iv)
Answer:Derivative as a Rate Measurer exercise case study base question, question 2(v)
Answer:Derivative as a Rate Measure exercise case study based question, question 3(i)
Answer:
Hint:
Here, we use basic concept of area
Given:
Aarushi’seast side speed is 10km/hr. and mall to Mira’s house speed is 15km/hr.
Solution:
Here
Derivative as a Rate Measure exercise case study based question, question 3(iii)
Answer:Derivative as a Rate Measure exercise case study based question, question 3(iv)
Answer:
10km/hr.
Hint:
Here we use the concept of speed and area
Given:
Here x=5km
y=12km
So, let B =13km (From Pythagoras)
Solution:
So, the speed of Aarushi and Mira is 10km/hr.
Derivative as a Rate Measure exercise case study based question, question 3(v)
Answer:
Hint:
Here we use basic concepts of Pythagoras
Given:
x=5km
y=12km
So, B=13km
Solution:
, Be the angle formed by mall, Aarushi and Mira.
Derivative as a Rate Measure exercise case study based question, question 2(i)
Answer:Students who want to know more about the class 12 RD Sharma chapter 12 exercise CSBQ solution and benefits of using RD Sharma solutions can check out the points mentioned below:
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