1
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
If f(x) = |ln|x|| where 0 < x < 1, then what is f'(0.5) equal to ?
2
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
If f'(x) = cos (In x) and $y=f\left(\frac{2 x-3}{x}\right)$, then what is $\frac{d y}{d x}$ equal to ?
3
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following for the next three (03) items that follow :
Let f(x) = Pex + Qe2x + Re3x where P, Q, R are real numbers. Further f(0) = 6, f'(ln 3) = 282 and $\int_0^{\ln 2} f(x) d x=11$
What is f'(0) equal to ?
4
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following for the next three (03) items that follow :
Let f(x) = |ln x|, x ≠ 1
What is the derivative of f(x) at x = 0.5 ?
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