Class XII ISC Maths Chapter Application of Derivative Exercise 7.6
Access a diverse collection of questions on the "Application of Derivatives," carefully designed to enhance your understanding of how derivatives are used in real-world scenarios. Our question bank covers key topics such as rate of change, tangents and normals, increasing and decreasing functions, maxima and minima, and optimization problems. These questions are ideal for students looking to solidify their problem-solving skills and apply derivative concepts in various fields. Whether you're preparing for exams or sharpening your calculus knowledge, our comprehensive collection offers the perfect resource to master the "Application of Derivatives."
class 12 A.O.D exercise7-6
Application of Derivatives
Select Exercise
Find the maximum and the minimum values (if any) of the
following (1 to 7) functions
Q8
(i) Is the minimum value of cos x zero?
(ii) What are the minimum and maxinmum values of 2 - 3 cos x?
Q10
Find the maximum and minimum values, if any, of the following functions
(i) x in (O, 1)
(ii) x in [0, 1]
Q12
Find the (absolute) maximum and the (absolute) minimum values of the following functions in the indicated intervals. Also find the points of (absolute) maxima and minima:
(i) f(x) = x3 in [-2, 2]
(i1) f(x) = (x - 1)2 +3 in [-3, 1]
(iii) f(x)= 4x - 1/2 x2 in [-2 , 9/2]
(iv) f(x) = 2x3 15x2 + 36x + 1 on the interval [1, 5]
(v)f(x)= -x + 3 in [-2, 2.5]
(vi) f(x) = 3x4 -8x3+ 12x2 - 48x +25 in [0, 3]
(vii) f(x) = x + sinx in [0, 2 π]
(viii) f(x) = sin x + cos in [0, π]
(ix) f(x) = 3 + |x + 1| in [-2, 3].
Q13
Find the maximum and minimum values of x + sin 2x on [0, 2π]. Also find points of maxima and minima
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