### Continuity and Differentiability

goals
Rewrite the following equations in the logarithm from :
$5^0 \, = \, 1$
If $\log^2 \left(\dfrac{a}{b}\right) + \log^2 \left(\dfrac{b}{c}\right) + \log^2 \left(\dfrac{c}{a}\right) + \log^2 a + log^2 b + \log^2 c - log \, abc + k \ge 0$ where a, b, c, k are real position numbers then value of 'k' can be
Find derivative of following function with respect to x
Find $\dfrac{dy}{dx}$ of the functions given
Differentiate the following function w.r.t.x.
$\dfrac{1}{(x^{2}+3^{2})}$