Refer to CUET Mathematics MCQs Applications of Derivatives provided below available for download in Pdf. The MCQ Questions for UG Mathematics with answers are aligned as per the latest syllabus and exam pattern suggested by CUET, NCERT and KVS. Multiple Choice Questions for Applications of Derivatives are an important part of exams for UG Mathematics and if practiced properly can help you to improve your understanding and get higher marks. Refer to more Chapter-wise MCQs for CUET UG Mathematics and also download more latest study material for all subjects
MCQ for UG Mathematics Applications of Derivatives
UG Mathematics students should refer to the following multiple-choice questions with answers for Applications of Derivatives in UG.
Applications of Derivatives MCQ Questions UG Mathematics with Answers
Question : If the rate of change of volume of a sphere is equal to the rate of change of its radius then the surface area of sphere is
a) 1
b) 3
c) 1/3
d) 0
Answer : 1
Question : The rate of change of area of a circle with respect to its radius r at r= 6 cm is
a) 12π
b) 11π
c) 8π
d) 10π
Answer : 12π
Question : The rate of change of volume of a sphere is equal to the rate of change of the radius then its radius equal to
a)
b)
c) π units
d)
Answer :
Question : Let h(x) = f(x) – [f (x)]2 + [f (x)]3 for every real number x. Then
a) h is increasing whenever f is increasing
b) h is increasing whenever f is decreasing
c) h is decreasing whenever f is increasing
d) Nothing can be said in general
Answer : h is increasing whenever f is increasing
Question : Total revenue in rupees received from the sale of x units of a product is given by R(x)=3x2+ 36x + 5 . The marginal revenue , when x=15 is
a) Rs 126
b) Rs 36
c) Rs 96
d) Rs 116
Answer : Rs 126
Question : The function f(x) = Sinx (1 + Cosx) is maximum in the interval [0, π] at x is equal to
a) π/3
b) π/4
c) π/6
d) π/2
Answer : π/3
Question : Let f (x) = 1 + 2x2 + 22x4 + …… + 210x20. Then f (x) has
a) Exactly one minima
b) Ablest one maximum
c) None of these
d) More than one minima
Answer : Exactly one minima
Question : If the rate of change of area of the circle is equal to the rate of change of its diameter then its radius is equal to
a)
b)
c) π units
d)
Answer :
Question : The number of roots of x3– 3x + 1 = 0 in [1, 2] is
a) One
b) Two
c) Three
d) None of these
Answer : One
Question : The maximum value of sin x . cos x is
a) 1/2
b) 1/4
c) √2
d) None of these
Answer : 1/2
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MCQs for Applications of Derivatives Mathematics UG
Expert teachers of studiestoday have referred to NCERT book for UG Mathematics to develop the Mathematics UG MCQs. If you download MCQs with answers for the above chapter you will get higher and better marks in UG test and exams in the current year as you will be able to have stronger understanding of all concepts. Daily Multiple Choice Questions practice of Mathematics will help students to have stronger understanding of all concepts and also make them expert on all critical topics. After solving the questions given in the MCQs which have been developed as per latest books also refer to the NCERT solutions for UG Mathematics. We have also provided lot of MCQ questions for UG Mathematics so that you can solve questions relating to all topics given in each chapter. After solving these you should also refer to UG Mathematics MCQ Test for the same chapter.
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