When calculus teachers don't think the derivative problem is hard enough. As a calculus teacher and a calculus enthusiast, I like to make the problem a bit harder sometimes. We will differentiate (((sin(x))^sin(x))^(sin(x))/ln(x) by using a really BIG quotient rule, chain rule, and product rule. I know we can also use logarithmic differentiation but I prefer to do it this way! Note ((sin(x))^sin(x))^(sin(x) is not the tetration of sin(x). ((sin(x))^sin(x))^(sin(x) can actually be simplied to (sin(x))^sin^2(x) by the rule of exponent. If the numerator was sin(x)^sin(x)^sin(x), then this question would be a lot more challeging.
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