Qual è la derivata di # tan ^ 2 x #?
Risposta:
#2tanxsec^2x#
Spiegazione:
#"note "tan^2x=(tanx)^2#
#"differentiate using the "color(blue)"chain rule"#
#"given "y=f(g(x))" then"#
#dy/dx=f'(g(x))xxg'(x)larr" chain rule"#
#"y=(tanx)^2#
#rArrdy/dx=2tanx xxd/dx(tanx)#
#color(white)(rArrdy/dx)=2tanxsec^2x#