Calculate derivatives

Question

F(x)= x^3+tan(x)/ln(x)

Answer 1

F(x) = [ x³ + tan(x) ] / ln(x) To take the derivative, we just need to know power rule (for x³), trig and log derivatives, and apply quotient rule as follows:

F^'(x) = [(3x² + sec²(x))(ln(x)) - 1/x(x³ + tan(x))] / [ln(x)]²