MediumDifferentiation rules

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §6.7 Hyperbolic Functions, #33 · Calculus · Differentiation rules

Sketch graphs of the functions in 34–40

The triangle in Figure 6.20 has area $\frac{1}{2} cosh t sinh t$ .

(a) Integrate to find the shaded area below the hyperbola

(b) For the area $A$ in red verify that $d A / d t = \frac{1}{2}$

(c) Conclude that $A = \frac{1}{2} t + C$ and show $C = 0$ .

Sketch graphs of the functions in 34–40.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §6.7 Hyperbolic Functions, #33

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