Find $\frac{d^{5}}{d x^{5}}\left(x^{4} \ln x\right)$ .
A) $\frac{d^{5}}{d x^{5}}\left(x^{4} \ln x\right)=\frac{3}{x^{4}}$
B) $\frac{d^{5}}{d x^{5}}\left(x^{4} \ln x\right)=\frac{6}{x^{2}}$
C) $\frac{d^{5}}{d x^{5}}\left(x^{4} \ln x\right)=\frac{1}{x}$
D) $\frac{d^{5}}{d x^{5}}\left(x^{4} \ln x\right)=\frac{6}{x^{4}}$
E) $\frac{d^{5}}{d x^{5}}\left(x^{4} \ln x\right)=\frac{24}{x}$

Question

Quizplus · Accepted Answer

The fifth derivative of $x^4 \ln x$ involves repeated application of the product rule and simplification, resulting in $\frac{24}{x}$.

Find d5dx5(x4ln⁡x)\frac{d^{5}}{d x^{5}}\left(x^{4} \ln x\right)dx5d5​(x4lnx) A) d5dx5(x4ln⁡x)=3x4\frac{d^{5}}{d x^{5}}\left(x^{4} \ln x\right)=\frac{3}{x^{4}}dx5d5​(x4lnx)=x43​ B) d5dx5(x4ln⁡x)=6x2\frac{d^{5}}{d x^{5}}\left(x^{4} \ln x\right)=\frac{6}{x^{2}}dx5d5​(x4lnx)=x26​

Find $\frac{d^{5}}{d x^{5}}\left(x^{4} \ln x\right)$
A) $\frac{d^{5}}{d x^{5}}\left(x^{4} \ln x\right)=\frac{3}{x^{4}}$ B) $\frac{d^{5}}{d x^{5}}\left(x^{4} \ln x\right)=\frac{6}{x^{2}}$