CreolaBudniewski290 CreolaBudniewski290

21-09-2014
Mathematics

Answered

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

Answer :

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

Other Questions

What is an example of a high amplitude sound and an example of a low amplitude sound

How many miles can you get on one tank of gas if your tank holds 18 gallons and you get 22 miles per gallon

What materials in a torch are conductors or insulators

i have 18 ones 15 hundreds 15 tens and 8 thousands what number am I

What is 5x23x2 solve with properties

PLEASE HELP Dealing with ratios

what may happen when scientists make new observations that seem to show that a theory is wrong

What goes into 133 and 30

Mark the statement if it accurately describes English settlement in North America A The English colonies did not produce fabulous wealth in gold or silver B Nea

Enter the appropriate symbol for an isotope of potassium39 corresponding to the isotope notation AZ x