Identify any general rules of calculus that you use
i) f(x) = tan(3x)In(sin(3x))
ii) f(x) = e^-sqrt(x) divided by x^3 +1
Hello, fair_lady0072002!
Identify any general rules of calculus that you use
We have: . . . . product rule
. . . . . . . . . . . chain rule
Simplify: .
. . . . . . . . . . . . . . reciprocals
Therefore: .
This one is truly messy!
We have: .
Then: . . . . quotient rule
. . . chain rule
Now we simplify . . . (do we hafta?)
We have: .
Multiply top and bottom by
Therefore: .
[Disclaimer: not responsible for egregious errors.]