Application of Derivatives · Mathematics · NDA

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

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

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

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

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

What is the maximum value of y?

What is the maximum value of xy ?

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...

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

Under which one of the following conditions does the function f(x) = (p sec x)2 + (q cosec x)2 attain minimum value ?...

Where does the function f(x) = $\displaystyle\sum_{j=1}^7$(x − j)2 attain its minimum value ?...

How many extreme values does sin4x + 2x, where $0 < x < \frac{\pi}{2} $ have ?

If the derivative of the function$f(x) =\frac{m}{x} +2nx + 1$ vanishes at x = 2, then what is the value of m + 8n ?

If xy = 4225 where x, y are natural numbers, then what is the minimum value of x + y ?