NDA Derivatives questions with solutions
Rules and techniques of differentiation. 33 questions from our 2016–2025 NDA pattern papers, from the Class 11 Mathematics syllabus. Each has the answer and a full solution.
NDA 2025
NDA 2024
NDA 2023
NDA 2021
NDA 2020
NDA 2019
NDA 2018
- Lim x→0(tan 5x)/(sin 2x) equals
- Lim x→∞(1+2/x)^x=e^2 2. lim x→0(tan x)/(x)=0 Which of the statements given above is/are correct?
- If x=2cos t and y=2sin t, then dy/dx at t=(π)/(6) is
- The function f(x)=begincases(e^3x-1)/(x),&x≠0\\[2mm] k,&x=0endcases is continuous at x=0 when k equals
- The maximum value of f(x)=(x)/(1+x^2 for x>0 is
- The parabola y=x^2+ax+b touches the line y=x+1 at the point (2,3). The value of a+b is
- The sum of a function continuous at x=a and a function discontinuous at x=a is discontinuous at x=a. 2. The product of two functions discontinuous at…
- If f'(c)=0 and f''(c)<0, then f has a local maximum at x=c. 2. A function continuous on the open interval (0,1) must be bounded on it.
- For f(x)=1/x on [1,4], the value of c in Lagrange's mean value theorem is
- For |x|<1/2, the derivative of sin ^-1(3x-4x^3 with respect to x is
- The slope of the tangent to the circle x^2+y^2=25 at the point (3,4) is
NDA 2017
NDA 2016
Other Mathematics topics
Three Dimensional Geometry 48Vector Algebra 60Complex Numbers and Quadratic Equations 35Binomial Theorem 16Sequences and Series 36Quadratic Equations 27Permutations and Combinations 25Statistics 35Probability 27Matrices 37Determinants 13Sets, Relations and Functions 39Binary Number System 11Logarithms 11Inverse Trigonometric Functions 22Trigonometric Functions and Identities 49Trigonometric Equations 16Properties of Triangles 18Heights and Distances 12Straight Lines 43Circles 21Conic Sections 28Limits 23Continuity and Differentiability 16Application of Derivatives 34Integrals 16Definite Integrals 23Application of Integrals 12Differential Equations 30