Mathematics - Application of Derivative Question with Solution | TestHub

$f\prime \prime >0$ on $\mathbb{R}$, with $f\prime (0)=f\prime (1)=1$

$f^{\prime \prime }>0$ on $\mathbb{R}$, with $f^{\prime }(0)=15$ and $f^{\prime }(1)=11$

$f\prime \prime \ge 0$ on $\mathbb{R},f\prime (0)=1/2017$, and ${\lim }_{x\to \infty }f(x)=2017$

$f\prime \prime >0$ on $\mathbb{R},f\prime (0)=1$, and $f(x)<1$ for all $x<0$