यदि $y = \log_x x$ है, तो $x = e^2$ पर $\left( \frac{dy}{dx} \right)^2$ का मान क्या होगा?

  • A
    $0$
  • B
    $1$
  • C
    $e^2$
  • D
    $e^4$

Explore More

Similar Questions

यदि ${x_n} > {x_{n - 1}} > ... > {x_2} > {x_1} > 1$ है,तो ${\log _{{x_1}}}{\log _{{x_2}}}{\log _{{x_3}}}.....{\log _{{x_n}}}({x_n}^{{x_{n - 1}}^{{.^{{.^{{.^{{x_1}}}}}}}}})$ का मान किसके बराबर है?

समीकरण $\log_{4}\{\log_{2}(\sqrt{x + 8} - \sqrt{x})\} = 0$ का एक वास्तविक मूल है

यदि $x = \log_{5}(1000)$ और $y = \log_{7}(2058)$ हो,तब:

Difficult
View Solution

$\left\{x \in R \mid \log_{10} ((1.6)^{1-x^2} - (0.625)^{6(1+x)}) \in R\right\}$ का मान है

यदि $\cosh ^{-1}\left(\frac{5}{3}\right)+\sinh ^{-1}\left(\frac{3}{4}\right)=k$ है, तो $e^k=$

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo