Given that the second derivative of a function is $f^{″}\left(x\right)=2x-\cos \left(x\right)$, which of the following is a possible form for the original function $f\left(x\right)$?

Which of the following best describes the derivative of a function $f\left(x\right)$?

Consider the function $f\left(x\right)$ whose second derivative is $f^{″}\left(x\right)=6x$. If $f\left(0\right)=2$ and $f^{\prime }\left(0\right)=3$, what is $f\left(x\right)$?

For the function $f\left(x\right)$, in which direction(s) does the derivative $f^{\prime }\left(x\right)$ provide information about the behavior of $f\left(x\right)$?

Consider a function $y=f\left(x\right)$. Which of the following best defines the slope of this function at a point $x=a$?

In what direction(s) does the derivative of $f\left(x\right)$ provide information about the behavior of the function $f\left(x\right)$?

Let $f$ be a differentiable function with derivative $f^{\prime }$. Which of the following statements is true?

Which of the following statements is not related to $differentiation$?

In what direction(s) does the derivative of $f\left(x\right)$ provide information about the behavior of the function $f\left(x\right)$?