MediumDerivatives

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §1.3 The Velocity at an Instant, #14 · Calculus · Derivatives

True or false, for any distance curves

True or false, for any distance curves.
(a) The slope of the line from $A$ to $B$ is the average velocity between those points.
(b) Secant lines have smaller slopes than the curve.
(c) If $f (t)$ and $F (t)$ start together and finish together, the average velocities are equal.
(d) If $v (t)$ and $V (t)$ start together and finish together, the increases in distance are equal.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §1.3 The Velocity at an Instant, #14

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