# Application of Derivatives · Mathematics · NDA

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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 ?
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