Differentiate.
-$\sqrt { \ln 3 x }$
A) $\frac { 1 } { 6 x }$
B) $\frac { 1 } { 3 \times \sqrt { \ln 3 x } }$
C) $\frac { 1 } { 2 x \sqrt { \ln 3 x } }$
D) $\frac { 1 } { 6 \times \sqrt { \ln 3 x } }$
E) none of these

Question

Differentiate. 
-$\sqrt { \ln 3 x }$
A) $\frac { 1 } { 6 x }$
B) $\frac { 1 } { 3 \times \sqrt { \ln 3 x } }$
C) $\frac { 1 } { 2 x \sqrt { \ln 3 x } }$
D) $\frac { 1 } { 6 \times \sqrt { \ln 3 x } }$
E) none of these

Quizplus · Accepted Answer

The differentiation of $\sqrt { \ln 3 x }$ using the chain rule is $\frac{1}{2\sqrt{\ln 3x}} \cdot \frac{3}{3x} = \frac{1}{2x\sqrt{\ln 3x}}$, which matches option C.

Differentiate ln⁡3x\sqrt { \ln 3 x }ln3x​ A) 16x\frac { 1 } { 6 x }6x1​

Differentiate $\sqrt { \ln 3 x }$ A) $\frac { 1 } { 6 x }$