Question

Please help solve this:

Answer 1

• f' = c
• g' = a
• h' = b

Explanation:

Given a sawtooth, a parabola, and a logistic function, you want to identify the graphs that represent their derivatives.

Sawtooth

The "zigzag" sawtooth function has constant positive slope alternating with constant negative slope. This is shown in derivative graph (c).

Parabola

The slope of the parabola changes smoothly from positive to negative, going through zero in the middle. This is shown in derivative graph (a).

Logistic function

The slope of the logistic curve is positive everywhere, with a higher rate of change in the middle. This is shown in derivative graph (b).