CreolaBudniewski290 CreolaBudniewski290
  • 21-09-2014
  • Mathematics
contestada

How do you find the derivative of y=ln(cos(x))y=ln(cos(x)) ?

Respuesta :

Аноним Аноним
  • 21-09-2014
[tex]y=ln(cosx)\\\\We\ know:\\(lnx)'=\frac{1}{x}\ and\ (cosx)'=-sinx\ and\ \{f[g(x)]\}'=f'[g(x)]\cdot g'(x)\\\\therefore:\\\\y'=\frac{1}{cosx}\cdot(-sinx)=-\frac{sinx}{cosx}=-tanx[/tex]
Answer Link

Otras preguntas

How did the us policy of containment affect its relations with other nations?
What is the cost of using nonrenewable fuels?
PLZ HELPWhat is the scientific term for this type of wave that was produced by a drum? Label two or more wave properties shown in the diagram for this type of w
? Which of these foods is an aperitivo? torta de manzana y leche asada café o té sopa o ensalada aceitunas y maní
Shariq wants to find 415 + 583 using place value which shows the correct way to break apart this addition problem A 400+800 ; 10+50; 5+3 , B 400+500; 10+83; 5
14285714/1000000000 simplified
Which number is a prime number? A. 111 B. 121 C. 131 D. 141
how old was benjamin franklin when he died
simplify algebraic expression 9(2z-4)
6.Which statement about the economies of West African nations is true? A.Their exports exceed their imports. B.They rarely import or export goods. C.Their impor