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 ?