Question Library
Browse our collection of questions across various subjects
Mathematics
Easy
View
What is the derivative of f(x) = sin(x²) with respect to x?
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
View
If f(x) = e^x and g(x) = ln x, then what is (f o g)(x) equal to?
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
View
What is the equation of the tangent to the curve y = x² – 2x + 1 at the point…
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
View
If the function f(x) = x³ + ax² + bx + c has a local maximum at x = -1…
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
View
What is the value of ∫ (from 0 to π/2) sin² x dx?
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
View
If f(x) = x² + bx + c has a local maximum at x = -1 and f(-1) = 2,…
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
View
If the function f(x) = x³ – 3x + k has two roots, then what is the range of k?
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
View
What is the area of the region bounded by the curve y = |x + 1| and y = -|x…
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
View
If f(x) = x² + 2ax + b has a local minimum at x = -1 and f(-1) = 2,…
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
View
What is the differential equation corresponding to y² – 2ay + x² = a² by eliminating a?
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
View
Let f(x) be defined as follows: f(x) = [2x + 1, -3 ≤ x < -2 [-x – 1, -2…
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
View
What is the solution of the differential equation ln (dy/dx) – a = 0?
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
View
If f(x) and g(x) are continuous functions satisfying f(x) = f(a – x) and g(x) + g(a – x) =…
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
View
Let f(x + y) = f(x) f(y) for all x and y. Then what is f(5) equal to (where f'(x)…
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
View
What is the general solution of the differential equation y dx – (x + 2y²) dy = 0?
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
View
What are the degree and order respectively of the differential equation y = x (dy/dx)² + (dx/dy)²?
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
View
Let f(x) be an indefinite integral of sin² x. Consider the following statements: Statement 1: The function f(x) satisfies f(x…
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
View
What is the maximum value of the function f(x) = 4sin² x + 1?
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
View
If x dy = y dx + y dy; y(1) = 1 and y(x) > 0, then what is y(-3)…
NDA Mathematics 2017
NDA 2017