Come si differenzia # 1 + cos ^ 2 (x) #?

Risposta:

#-sin2x#

Spiegazione:

#"differentiate using the "color(blue)"chain rule"#

#"given "y=f(g(x))" then"#

#dy/dx=f'(g(x))xxg'(x)larrcolor(blue)"chain rule"#

#y=1+(cosx)^2#

#dy/dx=2cosx xxd/dx(cosx)#

#color(white)(dy/dx)=-2sinxcosx=-sin2x#

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