# (Solved): Can someone please answer these 4 simple quick check questions, i will upvote! Find the derivative o ...

Can someone please answer these 4 simple quick check questions, i will upvote!

Find the derivative of $$y$$ with respect to $$x$$ of $$y=\ln \left(3 x^{3}\right)$$ A. $$\frac{1}{3 x^{3}}$$ B. $$\frac{3}{x}$$ C. $$\frac{9}{x^{2}}$$ D. $$\frac{1}{9 x^{2}}$$ E. $$\frac{9 x^{2}}{\ln \left(3 x^{3}\right)}$$ $$\frac{d y}{d x}$$ if $$y=\log _{6}\left(x^{4}\right)$$ A. $$\frac{1}{6 \ln \left(x^{4}\right)}$$ B. $$\frac{4 x^{3}}{\ln 6}$$ C. $$\frac{2 x^{3}}{3 \ln \left(x^{4}\right)}$$ D. $$\frac{4}{x \ln 6}$$ E. $$\frac{2}{x \ln 3}$$ Find $$f^{\prime}(x)$$ if $$f(x)=\ln 5 \cdot \log _{5}\left(x^{2}\right)$$ A. $$\frac{\ln 5}{2 x}$$ B. $$\frac{1}{x^{2}}$$ C. $$\frac{2}{x}$$ D. $$\frac{2 x \ln 5}{\ln \left(x^{2}\right)}$$ E. $$\frac{2 \ln 5}{x}$$ $$\frac{d y}{d x}$$ if $$y=\log _{9}\left(x^{2}-1\right)$$ A. $$\frac{2 x}{\left(x^{2}-1\right) \ln 9}$$ B. $$\frac{2 x^{3}-2}{\ln 9}$$ C. $$\frac{2 x \ln 9}{x^{2}-1}$$ D. $$\frac{1}{x^{2}-\ln 9}$$ E. $$\frac{2 x}{9 \ln \left(x^{2}-1\right)}$$

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