Class 11 CBSE Applied Maths differentiation Exercise 11.3

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.


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Q1. (i) If f(x) = √4-x2,x∈ (-2,2), find f'(x).

(ii) If f(x) = √1-x2,x∈ (0,1), find f'(x).

Solution :



Differentiate the following (2 to 4) w.r.t. x:



Q2. (i) √ 2x-1

(ii) (3x2-9x+5)9

Solution :



Q3. (i) √ 3x+2 + 1/√2x2+4

(ii) √ a2-x2/a2+x2

Solution :



Q4. (i) √ a+x - √ a-x/√ a+x + √ a-x

(ii) √ x2+1 + √ x2-1 / √ x2+1 - √ x2-1

Solution :



Q5. Find the derivative of |2x2-3| with respect to x

Solution :



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