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cuando derivamos la función logaritmo natural se obtiene la derivada de la función evaluada entre sí misma, es decir que d/dx(ln(u))=u'/u. si la función u(x) es una fracción de funciones tipo a(x)/b(x), la derivada será igual a la derivada del numerador por el denominador menos la derivada del denominador por el numerador, todo dividido entre el cuadrado del denominador, i.e. u'= (a'b-ab')/b² existe la identidad trigonométrica sen²x cos²x =1 por lo que cos²x=1-sen²x. también sabemos que cos x= c
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