Class 12 CBSE A.O.D Exercise 6.6
Class 12 CBSE Applied Maths aims to develop an understanding of basic
mathematical and statistical tools and their
applications in the field of commerce (business/ finance/economics) and social
sciences. Topics covered in Class 12th Applied Maths includes : Numbers, Quantification and
Numerical Applications, Algebra, Calculus, Probability Distributions , Inferential Statistics, Index
Numbers and Time-based data , Financial Mathematics , Linear Programming.
Please Select
Q1. Find the turning points of the following functions and distinguish between
them. Also find the local maximum and minimum values of the functions:
(i) f(x) = 2x3-21x2 +36x-20
(ii) f(x) = x³-3x²+3x.
Solution :
Q2. Find the coordinates of stationary points on the curve y = x³-3x²-9x+7, and distinguish between points of local maxima and minima.
Solution :
Q3. Find the points of local maxima and minima (if any) of each of the following
functions. Find also the local maximum and minimum values:
(i) f(x) = x²
(ii) f(x)=x³-3x+3
(iii) f(x)=x³-3x +3
(iv) f(x)=2x3-6x2+6x+5
(v) f(x)= x/2 +2/x.x>0
(vi) f(x) = 1/x2+2
(vii) f(x) = 3x4 + 4x3 — 12x2 + 12.
Solution :
Q4. For what values of a and b, the function f(x) = x3 + ax2 + bx — 3 has local maximum value at x = 0 and local minimum value at x = 1?
Solution :
