f(x)=e^x/(3+e^x)
Find the first derivative of f.
Use interval notation to indicate where f(x) is increasing.
List the x coordinates of all local minima of f. If there are no
local maxima, enter 'NONE'.
List the x coordinates of all local maxima of f. If there are no
local maxima, enter 'NONE'.
Find the second derivative of f:
Use interval notation to indicate the interval(s) of upward
concavity of f(x).
Use interval notation to indicate the interval(s) of downward
concavity...
Find the first four nonzero terms in a power series expansion
about x = 0 for a general solution to the given differential
equation
(x2 + 7)y'' + y = 0
Find the first four nonzero terms in a power series expansion
about x = 0 for a general solution to the given differential
equation
w'' - 6x2 w' + w = 0
Find at least the first four nonzero terms in a powerseries
expansion about x = 0 for a general solution to thegiven
differential equation: Include a general formula for the
coefficients (recurrence formula). x=0; (x^2 +4)y'' + y=x
Find the first four nonzero terms in a power series expansion
about x 0 for a general solution to the given differential equation
with the given value for x0=2.
(4x^2)y''-3y'+5y=0
Find at least the first four nonzero terms of the power series
expansion around x = 0 for the general solution of the differential
equation y"+ x²y'- xy = 0.