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Active Calculus 2nd Ed

Activity 2.5.3.
For each of the following functions, find the function’s derivative. State the rule(s) you use, label relevant derivatives appropriately, and be sure to clearly identify your overall answer.
(a)
\(p(r) = 4\sqrt{r^6 + 2e^r}\)
(b)
\(m(v) = \sin(v^2) \cos(v^3)\)
(c)
\(h(y) = \frac{\cos(10y)}{e^{4y}+1}\)
(d)
\(s(z) = 2^{z^2 \sec (z)}\)