Class 11 CBSE Applied Maths differentiation Exercise 11.2
Class 11 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 11th 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.
(i) x/2 + 2/x
(ii) 4√x-2
(iii) ax3+bx2+cx+d
(iv) 2x4+x
Solution :
Q2.
(i) (2x+1/x)2
(ii) (√x+1/√x)2
Solution :
Q3.
(i) x-3(5+3x)
(ii) x5(3-6x-9)
Solution :
Q4.
(i) (2x+3)(5x2-7x+1)
(ii) (2x-7)2(3x+5)3
Solution :
Q5.
(i) (x+1)(x-2)/√x
(ii) (x+5)(2x2-1)/x
Solution :
Q6. For the function f given by f(x) = 2x2- 3x + 7,show that f'(2) = 5 f'(1).
Solution :
Q7. If for the function of f defined by f(x) = kx2- 5x + 4,f'(3) = 37, find the value of k.
Solution :
Q8. If y= x+ 1/x, prove that x2dy/dx -xy +2 =0
Solution :
Find the derivatives of the following (9 to 11) functions :
Q9.
(i) x-a/x-b
(ii) ax+b/cx+d
Solution :
Q10.
(i) (2x+1)(3x-1)/x+5
(ii) 1/ax2+bx+c
Solution :
Q11.
(i) px2+qx+r/ax+b
(ii) ax2+bx+c/px2+qx+r
Solution :
