Question

Derivative of $\log _{10}^{x}$ w r t $x^{2}$ is

• A. $\frac{1}{2 x^{2} \cdot \log (10)}$
• B. $\frac{1}{x^{2}}$
• C. $\frac{1}{2 x}$
• D. $\frac{1}{2}$

Answer 1

Answer: (A)

$f(x) =\frac{\log x}{\log 10}, g(x)$
$=x^{2}, \frac{f'(x)}{g'(x)} =\frac{\frac{1}{x}}{\frac{\log }{2 x}}$