b4el5ldesticeDi
b4el5ldesticeDi b4el5ldesticeDi
  • 21-07-2016
  • Mathematics
contestada

Use the MacLaurin series for f(x).
Compute the 10th derivative of
f(x)=arctan(x^2/4)
at x=0.
f^(10)(0)=

Respuesta :

meerkat18
meerkat18 meerkat18
  • 22-07-2016
y = tan^−1(x2/4) tan(y) = x2/4 sec2(y) = x/2 y′ = xcos^2(y)/2 cos^2(y) = 16x2+16 y′ = 8x/(x2+16)

let u be x2+16
du is 2x dx
dy = 4 du / u
 y = 4 ln (
x2 + 16)
 
y at x =0 = 
 4 ln (16) = 11.09
Answer Link

Otras preguntas

How are velocity and speed related to each other?
Consider the sequence –8, –4, 0, 4, 8, 12, …. Select True or False An explicit rule for the sequence is f (n) = -8 + 4(n - 1) true false
in what wats is the theme of civilization vs. the wild explored in chapter 6 of the call of the wild
Please help with this I attached a pic of what I have tried to come up with. I'll give more point !! You have been asked to write a program that calculates the
6 men and 6 women are forming a line. How many ways can they line up if the line has to start with two males
What is the adjective in the following sentence: "The very pretty girl lost a shoe.
My friend has not just been finished the cake.Select one:Ob. True or false​
suppose a metal atom and a nonmetal atom bond what type of substance would most likely form
What are the names of the four caliphs in Islam?
The density of this material is approximately