Question

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Answer 1

Answer:

given y=36^log6x

differentiation

dy/dx=36^log6x(1/6x)(6).

Answer 2

$\mathrm{Domain\:of\:}\:36^{\log _{10}\left(6x\right)}\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(0,\:\infty \:\right)\end{bmatrix}$

$\mathrm{Range\:of\:}36^{\log _{10}\left(6x\right)}:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)>0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(0,\:\infty \:\right)\end{bmatrix}$

$\mathrm{Axis\:interception\:points\:of}\:36^{\log _{10}\left(6x\right)}:\quad \mathrm{None}$

$\mathrm{Asymptotes\:of}\:36^{\log _{10}\left(6x\right)}:\quad \mathrm{None}$

$\mathrm{Extreme\:Points\:of}\:36^{\log _{10}\left(6x\right)}:\quad \mathrm{None}$