# Application of Derivatives · Mathematics · NDA

Start Practice## MCQ (Single Correct Answer)

NDA Mathematics 21 April 2024

The non-negative values of $b$ for which the function $\frac{16x^3}{3} - 4bx^2 + x$ has neither maximum nor minimum in the range $x>0$ is

NDA Mathematics 21 April 2024

What is $\varphi(a)$ equal to?

NDA Mathematics 21 April 2024

What is $\varphi'(a)$ equal to?

NDA Mathematics 21 April 2024

Which of the following is/are correct?1. $f'(0) = 0$2. $f''(0) Select the correct answer using the code given below:

NDA Mathematics 21 April 2024

The function $y$ has a relative maxima at $x = 0$ for

NDA Mathematics 3 September 2023

What is the maximum value of y?

NDA Mathematics 3 September 2023

What is the maximum value of xy ?

NDA Mathematics 16 April 2023

Consider the following statements :
1. f(x) = In x is increasing in (0, ∞)
2. $g(x)=e^x+e^{\frac{1}{x}} $ is decreasing in (0, ∞)
Which of the stat...

NDA Mathematics 16 April 2023

What is the derivative of sin2 x with respect to cos2x ?