Differentiation · Mathematics · NDA

Consider the following statements :1. $f''(e) = \frac{1}{e}$2. $f(x)$ attains local minimum value at $x = e$3. A local minimum value of $f(x)$ is $e$W...

What is $f''(x)$ equal to?

If f is differentiable, then what is f'(0.5) equal to?...

If f(x) = |ln|x|| where 0 < x < 1, then what is f'(0.5) equal to ?

If f'(x) = cos (In x) and $y=f\left(\frac{2 x-3}{x}\right)$, then what is $\frac{d y}{d x}$ equal to ?...

What is f'(0) equal to ?  

What is the derivative of f(x) at x = 0.5 ?

What is the derivative of f(x) at x = 2 ? 

What is the derivative of fof(x), where 1 < x < 2 ?

What is the derivative of cosec(x°) ?  

If y = $\frac{x \sqrt{x^2−16}}{2} − 8 \ln\left|x + \sqrt{x^2−16}\right|$, then what is $\frac{\text{dy}}{\text{dx}}$ equal to ?...

If y = (xx)x, then which one of the following is correct ?...

Let f(x) be a function such that f'(x) = g(x) and f''(x) = −f(x). Let h(x) = {f(x)}2 + {g(x)}2. Then consider the following statements : 1. h'(3) = 0...

If y = ln2$\left(\frac{x^2−x+1}{x^2+x+1}\right)$, then what is $\frac{\text{dy}}{\text{dx}}$ at x = 0 equal to ?...

If $\frac{d}{d x}\left(\frac{1+x^4+x^8}{1−x^2+x^4}\right)$ = ax + bx3, then which one of the following is correct?...

If xyyx = 1, then what is $\frac{dy}{dx}$ at (1, 1) equal to?

If y = (xx)x, then what is the value of $\frac{dy}{dx}$ at x = 1?