1. The derivative of the sine constant is 0. Analysis: Since the result of the sine constant is a constant without x, the derivative of the sine constant is 0.
2. The derivative of y = c (where c is a constant) is 0.
3. The derivative of y = x^n is nx^(n-1).
4. The derivative of y = a^x is a^x * ln(a), and the derivative of y = e^x is e^x.
5. The derivative of y = log_a(x) is (1/x) * log_a(e), and the derivative of y = ln(x) is 1/x.
6. The derivative of y = sin(x) is cos(x).
7. The derivative of y = cos(x) is -sin(x).
8. The derivative of y = tan(x) is 1/(cos^2(x)).
9. The derivative of y = cot(x) is -1/(sin^2(x)).
10. The derivative of y = arcsin(x) is 1/√(1 - x^2).
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