Question $11(4$ points$)$

If $f(x)$ is a differentiable function, which of the following statements about $f^{\text{'}}(O)$ must always be true? $($Choose the $2$ correct statements$)$

Select $2$ correct answer$($s$)$

$f^{\text{'}}(0)$ is the $y-$value of $f(x)$ at $x=0.$

$f^{\text{'}}(0)$ is the slope of the secant line of $f(x)$ over the interval $0,1.$

$f^{\text{'}}(0)$ is the average rate of change of $f(x)$ over the interval $0,1.$

$f^{\text{'}}(0)$ is the instantaneous rate of change of $f(x)$ at $x=0.$

$f^{\text{'}}(0)$ is the slope of the tangent line of $f(x)$ at $x=0.$