1
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Let $$f(x) = {(\left| x \right| - \left| {x - 1} \right|)^2}$$
What is f'(x) equal to when 0 < x < 1 ?
2
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Let $$f(x) = {(\left| x \right| - \left| {x - 1} \right|)^2}$$
Which of the following equations is/are correct?
I. f($$-$$2) = f(5)
II. f''($$-$$2) + f''(0.5) + f''(3) = 4
Select the correct answer using the code given below.
I. f($$-$$2) = f(5)
II. f''($$-$$2) + f''(0.5) + f''(3) = 4
Select the correct answer using the code given below.
3
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the function
$$f(x) = \left| {\matrix{ {{x^3}} & {\sin x} & {\cos x} \cr 6 & { - 1} & 0 \cr p & {{p^2}} & {{p^3}} \cr } } \right|$$,
where p is a contant.
$$f(x) = \left| {\matrix{ {{x^3}} & {\sin x} & {\cos x} \cr 6 & { - 1} & 0 \cr p & {{p^2}} & {{p^3}} \cr } } \right|$$,
where p is a contant.
What is the value of f'(0) ?
4
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the function
$$f(x) = \left| {\matrix{ {{x^3}} & {\sin x} & {\cos x} \cr 6 & { - 1} & 0 \cr p & {{p^2}} & {{p^3}} \cr } } \right|$$,
where p is a contant.
$$f(x) = \left| {\matrix{ {{x^3}} & {\sin x} & {\cos x} \cr 6 & { - 1} & 0 \cr p & {{p^2}} & {{p^3}} \cr } } \right|$$,
where p is a contant.
What is the value of p for which f''(0) = 0 ?
Questions Asked from Differentiation (Marks 2.5)
Number in Brackets after Paper Indicates No. of Questions
NDA Subjects
Mathematics
Algebra
Sets, Relations and Functions Logarithms Quadratic Equations and Inequalities Sequence And Series Binomial Theorem Matrices Determinants Permutations and Combinations Probability Complex Numbers Vector Algebra Three Dimensional Geometry Statistics
Trigonometry
Trigonometric Angles and Equations Inverse Trigonometric Function Height and Distance Properties of Triangles
Coordinate Geometry
Calculus
English
General Studies