Write the second derivative with respect to $x$ for each function.

1. $y = \left(x – 10\right)^{2}$ 

   Hint (a):

   This is the equation of a parabola. The $2$nd derivative represents the concavity of the original equation.
   Is $y=\left(x−10\right)^2$ concave up, concave down or neither?

2. $g\left(x\right) = –5x + 10$ 

   Hint (b):

   $g\left(x\right)$ is a linear equation.
   $g ^{\prime \prime}\left(x\right)$ represents its concavity.
   Is a straight line concave up, concave down or neither?

3. $y = 5x^{8} – 3x^{–8}$ 

   Hint (c):

   Use the Power Rule.