f= x^sin(x)
LN(f) = LN(x^sin(x)) = sin(x)LN(x)
e^LN(f) = f = e^(sin(x)LN(x))
f = e^u
u = sin(x)LN(x)
f' = u' * e^u
u' = ab' + a'b
a = sin(x)
b = LN(x)
a' = cos(x)
b' = 1/x
u' = sin(x)(1/x) + cos(x)LN(x)
f' = sin(x)/x + cos(x)LN(x) * e^(sin(x)LN(x))
f' is the slope of f at point x.
Take Calc 1. Fun stuff.
Used Chain Rule and Product Rule (not sure about the name for that one.)
