Question

find the derivative of f(x)= log5(3(x^4+5)^8)/tan(3x^2) (Do not simplify!)
(Step by step) WILL FAN AND MEDAL!!

Answer 1

\[f(x)=\log_{5}(3(x ^{4}+5)^{^{8}})\div \tan(3x ^{2}) \]

Answer 2

\[the derivative of \log is \log_{b} u=du/u \ln b\] so the derivative of the log thing on top
\[(24(x ^{4}+5)^{7}(4x ^{3}))/(3(x ^{4}+5)^{8}*\ln5\]

Answer 3

derivative of tan(3x^2) is
\[\sec ^{2}(3x ^{2})*(6x)\]

Answer 4

do the quotient rule lowdhigh-highdlow all over low squared

Answer 5

so its tan(3x^2)(derivative of the log thing)-(log thing)(derivative of tan) all over the tan thing squared