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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)
\(s(z) = 2^{z^2 \sec (z)}\)
(e)