Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B2

Chapter

Calculus

Question:

If $f(x)=x^{x^{x ... \infty}}$ then $f'(x)=$

Options:

$\frac{(f(x))^2}{x(1+f(x) \log x)}$

$\frac{(f(x))^2}{x(1-f(x) \log x)}$

$\frac{f(x)}{x(1+f(x) \log x)}$

$\frac{f(x)}{x(1-f(x) \log x)}$

Correct Answer:

$\frac{(f(x))^2}{x(1-f(x) \log x)}$

Explanation:

The correct answer is Option (2) → $\frac{(f(x))^2}{x(1-f(x) \log x)}$