Application Of Derivatives

value of the function at a point $t \in(a, b)$

value of the function at $t \in(a, b)$ such that $f^{\prime}(t)=0$

Slope of the tangent drawn to the curve $y=f(t)$ at a point $t \in(c, d)$

Slope of the tangent drawn to the curve $y=f(t)$ at a point $t \in(a, b)$