Determine whether the following functions are odd or even?
 \(f(x)=log({ x }^{ 2 }+\sqrt { { x }^{ 2 } } +1)\)

Determine whether the following functions are odd or even?
f(x) = x² - |x|

Find \(\frac{dy}{dx}\) of the following functions: x = ct, y = \(\frac{c}{t}\)

Find  \(\frac{dy}{dx}\)  of the following functions: x = acos³θ, y = asin³θ

If f(x) = e^x and g(x) = log_ex ,then find
i) (f + g)(1)
ii) (fg)(1)
iii) (3f)(1)
iv) (5g)(1)